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12091604172 = 2232948771347
BaseRepresentation
bin10110100001011011…
…10011110011001100
31011012200111010122120
423100231303303030
5144230422313142
65315501012540
7605432640204
oct132055636314
934180433576
1012091604172
1151454391aa
122415554150
1311a912898b
14829c65404
154ab8177ec
hex2d0b73ccc

12091604172 has 48 divisors (see below), whose sum is σ = 29246972160. Its totient is φ = 3883505472.

The previous prime is 12091604113. The next prime is 12091604177. The reversal of 12091604172 is 27140619021.

It is a happy number.

It is a super-3 number, since 3×120916041723 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12091604177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133803 + ... + 205149.

It is an arithmetic number, because the mean of its divisors is an integer number (609311920).

Almost surely, 212091604172 is an apocalyptic number.

12091604172 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 12091604172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623486080).

12091604172 is an abundant number, since it is smaller than the sum of its proper divisors (17155367988).

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

12091604172 is a wasteful number, since it uses less digits than its factorization.

12091604172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71870 (or 71868 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 12091604172 in words is "twelve billion, ninety-one million, six hundred four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 487 974 1461 1948 2922 5844 14123 28246 42369 56492 71347 84738 142694 169476 214041 285388 428082 856164 2069063 4138126 6207189 8276252 12414378 24828756 34745989 69491978 104237967 138983956 208475934 416951868 1007633681 2015267362 3022901043 4030534724 6045802086 12091604172