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120020112212 = 227111354754799
BaseRepresentation
bin110111111000111000…
…0011001001101010100
3102110210102000102021012
41233301300121031110
53431300122042322
6131045251311352
711446132056410
oct1576160311524
9373712012235
10120020112212
114699a251790
121b3165ab558
13b4194098a0
145b47c9dd40
1531c6b29ae2
hex1bf1c19354

120020112212 has 96 divisors (see below), whose sum is σ = 282526003200. Its totient is φ = 43084379520.

The previous prime is 120020112167. The next prime is 120020112221. The reversal of 120020112212 is 212211020021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2162789 + ... + 2217587.

It is an arithmetic number, because the mean of its divisors is an integer number (2942979200).

Almost surely, 2120020112212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120020112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141263001600).

120020112212 is an abundant number, since it is smaller than the sum of its proper divisors (162505890988).

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

120020112212 is a wasteful number, since it uses less digits than its factorization.

120020112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55381 (or 55379 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120020112212 its reverse (212211020021), we get a palindrome (332231132233).

It can be divided in two parts, 120020 and 112212, that added together give a palindrome (232232).

The spelling of 120020112212 in words is "one hundred twenty billion, twenty million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 547 572 1001 1094 2002 2188 3829 4004 6017 7111 7658 12034 14222 15316 24068 28444 42119 49777 54799 78221 84238 99554 109598 156442 168476 199108 219196 312884 383593 547547 602789 712387 767186 1095094 1205578 1424774 1534372 2190188 2411156 2849548 4219523 4986709 7836257 8439046 9973418 15672514 16878092 19946836 29975053 31345028 54853799 59950106 109707598 119900212 209825371 219415196 329725583 389675689 419650742 659451166 779351378 839301484 1318902332 1558702756 2308079081 2727729823 4286432579 4616158162 5455459646 8572865158 9232316324 10910919292 17145730316 30005028053 60010056106 120020112212