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12102131112 = 2336112016883
BaseRepresentation
bin10110100010101011…
…11101110110101000
31011020102021221220020
423101111331312220
5144241121143422
65320514400440
7605621263041
oct132125756650
934212257806
1012102131112
115150379255
122418b90120
1311ab373336
1482b4058c8
154ac6e695c
hex2d157dda8

12102131112 has 64 divisors (see below), whose sum is σ = 30781392960. Its totient is φ = 3964032000.

The previous prime is 12102131081. The next prime is 12102131177. The reversal of 12102131112 is 21113120121.

It is a junction number, because it is equal to n+sod(n) for n = 12102131091 and 12102131100.

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 15 ways as a sum of consecutive naturals, for example, 1754823 + ... + 1761705.

It is an arithmetic number, because the mean of its divisors is an integer number (480959265).

Almost surely, 212102131112 is an apocalyptic number.

12102131112 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 12102131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390696480).

12102131112 is an abundant number, since it is smaller than the sum of its proper divisors (18679261848).

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

12102131112 is a wasteful number, since it uses less digits than its factorization.

12102131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12102131112 its reverse (21113120121), we get a palindrome (33215251233).

The spelling of 12102131112 in words is "twelve billion, one hundred two million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1201 1464 2402 3603 4804 6883 7206 9608 13766 14412 20649 27532 28824 41298 55064 73261 82596 146522 165192 219783 293044 419863 439566 586088 839726 879132 1259589 1679452 1758264 2519178 3358904 5038356 8266483 10076712 16532966 24799449 33065932 49598898 66131864 99197796 198395592 504255463 1008510926 1512766389 2017021852 3025532778 4034043704 6051065556 12102131112