120258432000 has 880 divisors, whose sum is σ = 512509977408. Its totient is φ = 27471052800.

The previous prime is 120258431981. The next prime is 120258432061. The reversal of 120258432000 is 234852021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72575172 + ... + 72576828.

Almost surely, 2^120258432000 is an apocalyptic number.

120258432000 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 120258432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256254988704).

120258432000 is an abundant number, since it is smaller than the sum of its proper divisors (392251545408).

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

120258432000 is an equidigital number, since it uses as much as digits as its factorization.

120258432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 120258432000 in words is "one hundred twenty billion, two hundred fifty-eight million, four hundred thirty-two thousand".