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12102132312 = 2332179887363
BaseRepresentation
bin10110100010101011…
…11110001001011000
31011020102022000112200
423101111332021120
5144241121213222
65320514410200
7605621266404
oct132125761130
934212260480
1012102132312
11515037a146
122418b90960
1311ab373a4a
1482b406104
154ac6e6eac
hex2d157e258

12102132312 has 48 divisors (see below), whose sum is σ = 34704647640. Its totient is φ = 3796747008.

The previous prime is 12102132299. The next prime is 12102132331. The reversal of 12102132312 is 21323120121.

12102132312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4942458 + ... + 4944905.

Almost surely, 212102132312 is an apocalyptic number.

12102132312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12102132312 is an abundant number, since it is smaller than the sum of its proper divisors (22602515328).

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

12102132312 is a wasteful number, since it uses less digits than its factorization.

12102132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9887392 (or 9887385 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12102132312 its reverse (21323120121), we get a palindrome (33425252433).

The spelling of 12102132312 in words is "twelve billion, one hundred two million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 9887363 19774726 29662089 39549452 59324178 79098904 88986267 118648356 168085171 177972534 237296712 336170342 355945068 504255513 672340684 711890136 1008511026 1344681368 1512766539 2017022052 3025533078 4034044104 6051066156 12102132312