126642425928000 has 224 divisors, whose sum is σ = 427898254143360. Its totient is φ = 32985933926400.

The previous prime is 126642425927929. The next prime is 126642425928041. The reversal of 126642425928000 is 829524246621.

It is a happy number.

It is a super-3 number, since 3×126642425928000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60325765 + ... + 62389764.

It is an arithmetic number, because the mean of its divisors is an integer number (1910260063140).

Almost surely, 2^{126642425928000} is an apocalyptic number.

126642425928000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126642425928000 is an abundant number, since it is smaller than the sum of its proper divisors (301255828215360).

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

126642425928000 is a wasteful number, since it uses less digits than its factorization.

126642425928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122715602 (or 122715582 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 126642425928000 in words is "one hundred twenty-six trillion, six hundred forty-two billion, four hundred twenty-five million, nine hundred twenty-eight thousand".