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120011103212 = 227211139534493
BaseRepresentation
bin110111111000100111…
…0000001101111101100
3102110202210001201020112
41233301032001233230
53431240320300322
6131044330235152
711445662355200
oct1576116015754
9373683051215
10120011103212
1146995159130
121b313585ab8
13b4175a4110
145b469d6b00
1531c5e4a5e2
hex1bf1381bec

120011103212 has 144 divisors (see below), whose sum is σ = 287384684832. Its totient is φ = 43105950720.

The previous prime is 120011103197. The next prime is 120011103221. The reversal of 120011103212 is 212301110021.

It is a super-2 number, since 2×1200111032122 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26708438 + ... + 26712930.

It is an arithmetic number, because the mean of its divisors is an integer number (1995726978).

Almost surely, 2120011103212 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 120011103212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143692342416).

120011103212 is an abundant number, since it is smaller than the sum of its proper divisors (167373581620).

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

120011103212 is a wasteful number, since it uses less digits than its factorization.

120011103212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 120011103212 its reverse (212301110021), we get a palindrome (332312213233).

The spelling of 120011103212 in words is "one hundred twenty billion, eleven million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 953 1001 1078 1274 1906 2002 2156 2548 3812 4004 4493 6671 7007 8986 10483 12389 13342 14014 17972 20966 24778 26684 28028 31451 41932 46697 49423 49556 58409 62902 73381 86723 93394 98846 116818 125804 136279 146762 173446 186788 197692 220157 233636 272558 293524 345961 346892 408863 440314 513667 545116 607061 642499 691922 817726 880628 953953 1027334 1214122 1284998 1383844 1635452 1907906 2054668 2421727 2428244 2569996 2862041 3815812 4281829 4497493 4843454 5724082 6677671 8563658 8994986 9686908 11448164 13355342 17127316 17989972 26710684 29972803 31482451 47100119 55663777 59945606 62964902 94200238 111327554 119891212 125929804 188400476 209809621 222655108 329700833 389646439 419619242 612301547 659401666 779292878 839238484 1224603094 1318803332 1558585756 2307905831 2449206188 2727525073 4286110829 4615811662 5455050146 8572221658 9231623324 10910100292 17144443316 30002775803 60005551606 120011103212