120916584000 has 224 divisors, whose sum is σ = 443630304000. Its totient is φ = 32244364800.

The previous prime is 120916583999. The next prime is 120916584013. The reversal of 120916584000 is 485619021.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 63900 + ... + 495899.

Almost surely, 2^120916584000 is an apocalyptic number.

120916584000 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 120916584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221815152000).

120916584000 is an abundant number, since it is smaller than the sum of its proper divisors (322713720000).

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

120916584000 is an equidigital number, since it uses as much as digits as its factorization.

120916584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559835 (or 559809 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 120916584000 in words is "one hundred twenty billion, nine hundred sixteen million, five hundred eighty-four thousand".