120125381622528 has 144 divisors (see below), whose sum is σ = 328606296596480. Its totient is φ = 38929110478848.

The previous prime is 120125381622427. The next prime is 120125381622539. The reversal of 120125381622528 is 825226183521021.

It is a super-2 number, since 2×120125381622528² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34691451 + ... + 37996677.

Almost surely, 2^{120125381622528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120125381622528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164303148298240).

120125381622528 is an abundant number, since it is smaller than the sum of its proper divisors (208480914973952).

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

120125381622528 is a wasteful number, since it uses less digits than its factorization.

120125381622528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306562 (or 3306548 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 120125381622528 in words is "one hundred twenty trillion, one hundred twenty-five billion, three hundred eighty-one million, six hundred twenty-two thousand, five hundred twenty-eight".