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12156768117 = 341311719859
BaseRepresentation
bin10110101001001100…
…11000111101110101
31011101020002210210000
423110212120331311
5144344113034432
65330145421513
7610153552434
oct132446307565
934336083700
1012156768117
1151791a68aa
12243333a899
1311b9793220
1483478911b
154b23da57c
hex2d4998f75

12156768117 has 40 divisors (see below), whose sum is σ = 19575728480. Its totient is φ = 7473941280.

The previous prime is 12156768101. The next prime is 12156768121. The reversal of 12156768117 is 71186765121.

12156768117 is a `hidden beast` number, since 1 + 2 + 1 + 567 + 6 + 81 + 1 + 7 = 666.

It is not a de Polignac number, because 12156768117 - 24 = 12156768101 is a prime.

It is a super-2 number, since 2×121567681172 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12156768317) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1228134 + ... + 1237992.

It is an arithmetic number, because the mean of its divisors is an integer number (489393212).

Almost surely, 212156768117 is an apocalyptic number.

It is an amenable number.

12156768117 is a deficient number, since it is larger than the sum of its proper divisors (7418960363).

12156768117 is a wasteful number, since it uses less digits than its factorization.

12156768117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11055 (or 11046 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The spelling of 12156768117 in words is "twelve billion, one hundred fifty-six million, seven hundred sixty-eight thousand, one hundred seventeen".

Divisors: 1 3 9 13 27 39 81 117 351 1053 1171 3513 9859 10539 15223 29577 31617 45669 88731 94851 128167 137007 266193 384501 411021 798579 1153503 1233063 3460509 10381527 11544889 34634667 103904001 150083557 311712003 450250671 935136009 1350752013 4052256039 12156768117