120465792000 has 616 divisors, whose sum is σ = 450946599792. Its totient is φ = 32099328000.

The previous prime is 120465791993. The next prime is 120465792019. The reversal of 120465792000 is 297564021.

120465792000 is a `hidden beast` number, since 1 + 20 + 46 + 579 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 93311355 + ... + 93312645.

Almost surely, 2^120465792000 is an apocalyptic number.

120465792000 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 120465792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225473299896).

120465792000 is an abundant number, since it is smaller than the sum of its proper divisors (330480807792).

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

120465792000 is an frugal number, since it uses more digits than its factorization.

120465792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 120465792000 in words is "one hundred twenty billion, four hundred sixty-five million, seven hundred ninety-two thousand".