12942607104 has 648 divisors, whose sum is σ = 46904256672. Its totient is φ = 3357573120.

The previous prime is 12942607099. The next prime is 12942607121. The reversal of 12942607104 is 40170624921.

It is a happy number.

12942607104 is a `hidden beast` number, since 1 + 2 + 9 + 42 + 607 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×12942607104² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 315673324 + ... + 315673364.

Almost surely, 2^12942607104 is an apocalyptic number.

12942607104 is a gapful number since it is divisible by the number (14) 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 12942607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23452128336).

12942607104 is an abundant number, since it is smaller than the sum of its proper divisors (33961649568).

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

12942607104 is a wasteful number, since it uses less digits than its factorization.

12942607104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12942607104 in words is "twelve billion, nine hundred forty-two million, six hundred seven thousand, one hundred four".