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12117000967 = 1923239311587
BaseRepresentation
bin10110100100011101…
…01100001100000111
31011021110021102111121
423102032230030013
5144303423012332
65322205214411
7606161544301
oct132216541407
934243242447
1012117000967
115158805195
122421b61407
1311b147b676
1482d396971
154adb82797
hex2d23ac307

12117000967 has 16 divisors (see below), whose sum is σ = 13316002560. Its totient is φ = 10974629952.

The previous prime is 12117000953. The next prime is 12117000979. The reversal of 12117000967 is 76900071121.

It is not a de Polignac number, because 12117000967 - 27 = 12117000839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12117000947) 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, 1039948 + ... + 1051534.

It is an arithmetic number, because the mean of its divisors is an integer number (832250160).

Almost surely, 212117000967 is an apocalyptic number.

12117000967 is the 55039-th decagonal number.

12117000967 is a deficient number, since it is larger than the sum of its proper divisors (1199001593).

12117000967 is a wasteful number, since it uses less digits than its factorization.

12117000967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14022.

The product of its (nonzero) digits is 5292, while the sum is 34.

The spelling of 12117000967 in words is "twelve billion, one hundred seventeen million, nine hundred sixty-seven", and thus it is an aban number.

Divisors: 1 19 23 437 2393 11587 45467 55039 220153 266501 1045741 5063519 27727691 526826129 637736893 12117000967