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120212213112 = 23322967859297
BaseRepresentation
bin110111111110100110…
…1001100110101111000
3102111021210111011011100
41233331031030311320
53432143311304422
6131120312531400
711453653644345
oct1577515146570
9374253434140
10120212213112
1146a88729a62
121b36a9b0b60
13b44a159664
145b655c77cc
1531d89237ac
hex1bfd34cd78

120212213112 has 96 divisors (see below), whose sum is σ = 341828744400. Its totient is φ = 38111496192.

The previous prime is 120212213087. The next prime is 120212213119. The reversal of 120212213112 is 211312212021.

120212213112 is a `hidden beast` number, since 120 + 212 + 21 + 311 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212213119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289753 + ... + 569544.

Almost surely, 2120212213112 is an apocalyptic number.

120212213112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120212213112 is an abundant number, since it is smaller than the sum of its proper divisors (221616531288).

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

120212213112 is a wasteful number, since it uses less digits than its factorization.

120212213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859405 (or 859398 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120212213112 its reverse (211312212021), we get a palindrome (331524425133).

The spelling of 120212213112 in words is "one hundred twenty billion, two hundred twelve million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 67 72 87 116 134 174 201 232 261 268 348 402 522 536 603 696 804 1044 1206 1608 1943 2088 2412 3886 4824 5829 7772 11658 15544 17487 23316 34974 46632 69948 139896 859297 1718594 2577891 3437188 5155782 6874376 7733673 10311564 15467346 20623128 24919613 30934692 49839226 57572899 61869384 74758839 99678452 115145798 149517678 172718697 199356904 224276517 230291596 299035356 345437394 448553034 460583192 518156091 598070712 690874788 897106068 1036312182 1381749576 1669614071 1794212136 2072624364 3339228142 4145248728 5008842213 6678456284 10017684426 13356912568 15026526639 20035368852 30053053278 40070737704 60106106556 120212213112