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120212201102112 = 25327515311571719
BaseRepresentation
bin11011010101010100010101…
…100010110101101100100000
3120202122011200222120221000200
4123111110111202311230200
5111224024041440231422
61103400420042545200
734215021256612350
oct3325242542655440
9522564628527020
10120212201102112
1135337787661a79
1211595b1ab08200
13520cc674624a2
14219843175ab60
15dd6eddd212ac
hex6d55158b5b20

120212201102112 has 144 divisors (see below), whose sum is σ = 390765505253760. Its totient is φ = 34339674894336.

The previous prime is 120212201102101. The next prime is 120212201102113. The reversal of 120212201102112 is 211201102212021.

120212201102112 is a `hidden beast` number, since 120 + 2 + 1 + 220 + 110 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120212201102113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4602589 + ... + 16174307.

It is an arithmetic number, because the mean of its divisors is an integer number (2713649342040).

Almost surely, 2120212201102112 is an apocalyptic number.

120212201102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212201102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195382752626880).

120212201102112 is an abundant number, since it is smaller than the sum of its proper divisors (270553304151648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120212201102112 is a wasteful number, since it uses less digits than its factorization.

120212201102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11576895 (or 11576884 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120212201102112 its reverse (211201102212021), we get a palindrome (331413303314133).

The spelling of 120212201102112 in words is "one hundred twenty trillion, two hundred twelve billion, two hundred one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 5153 10306 15459 20612 30918 36071 41224 46377 61836 72142 82448 92754 108213 123672 144284 164896 185508 216426 247344 288568 324639 371016 432852 494688 577136 649278 742032 865704 1154272 1298556 1484064 1731408 2597112 3462816 5194224 10388448 11571719 23143438 34715157 46286876 69430314 81002033 92573752 104145471 138860628 162004066 185147504 208290942 243006099 277721256 324008132 370295008 416581884 486012198 555442512 648016264 729018297 833163768 972024396 1110885024 1296032528 1458036594 1666327536 1944048792 2592065056 2916073188 3332655072 3888097584 5832146376 7776195168 11664292752 23328585504 59629068007 119258136014 178887204021 238516272028 357774408042 417403476049 477032544056 536661612063 715548816084 834806952098 954065088112 1073323224126 1252210428147 1431097632168 1669613904196 1908130176224 2146646448252 2504420856294 2862195264336 3339227808392 3756631284441 4293292896504 5008841712588 5724390528672 6678455616784 7513262568882 8586585793008 10017683425176 13356911233568 15026525137764 17173171586016 20035366850352 30053050275528 40070733700704 60106100551056 120212201102112