12642142905600 has 864 divisors, whose sum is σ = 49352627896320. Its totient is φ = 2819923476480.

The previous prime is 12642142905551. The next prime is 12642142905649. The reversal of 12642142905600 is 650924124621.

It is an interprime number because it is at equal distance from previous prime (12642142905551) and next prime (12642142905649).

It is a super-2 number, since 2×12642142905600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109017249 + ... + 109133151.

Almost surely, 2^{12642142905600} is an apocalyptic number.

12642142905600 is a gapful number since it is divisible by the number (10) 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 12642142905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24676313948160).

12642142905600 is an abundant number, since it is smaller than the sum of its proper divisors (36710484990720).

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

12642142905600 is a wasteful number, since it uses less digits than its factorization.

12642142905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115987 (or 115968 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 12642142905600 in words is "twelve trillion, six hundred forty-two billion, one hundred forty-two million, nine hundred five thousand, six hundred".