120427932000 has 768 divisors, whose sum is σ = 437476515840. Its totient is φ = 28827648000.

The previous prime is 120427931999. The next prime is 120427932011. The reversal of 120427932000 is 239724021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 866387931 + ... + 866388069.

It is an arithmetic number, because the mean of its divisors is an integer number (569630880).

Almost surely, 2^120427932000 is an apocalyptic number.

120427932000 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 120427932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218738257920).

120427932000 is an abundant number, since it is smaller than the sum of its proper divisors (317048583840).

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

120427932000 is a wasteful number, since it uses less digits than its factorization.

120427932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 120427932000 in words is "one hundred twenty billion, four hundred twenty-seven million, nine hundred thirty-two thousand".