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12860094312 = 23321317292312
BaseRepresentation
bin10111111101000010…
…10111011101101000
31020012020112110221100
423332201113131220
5202314141004222
65524032241400
7633453666222
oct137641273550
936166473840
1012860094312
1154aa20821a
1225aa9a0260
13129c3c8580
1489dd4b412
155040184ac
hex2fe857768

12860094312 has 432 divisors, whose sum is σ = 42501333420. Its totient is φ = 3479777280.

The previous prime is 12860094287. The next prime is 12860094337. The reversal of 12860094312 is 21349006821.

12860094312 is a `hidden beast` number, since 1 + 2 + 8 + 600 + 9 + 43 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12860094287) and next prime (12860094337).

It can be written as a sum of positive squares in 6 ways, for example, as 6131829636 + 6728264676 = 78306^2 + 82026^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 414841737 + ... + 414841767.

Almost surely, 212860094312 is an apocalyptic number.

12860094312 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 12860094312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250666710).

12860094312 is an abundant number, since it is smaller than the sum of its proper divisors (29641239108).

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

12860094312 is a wasteful number, since it uses less digits than its factorization.

12860094312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12860094312 in words is "twelve billion, eight hundred sixty million, ninety-four thousand, three hundred twelve".