120912000 has 256 divisors, whose sum is σ = 439171200. Its totient is φ = 29184000.

The previous prime is 120911957. The next prime is 120912023. The reversal of 120912000 is 219021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 527886 + ... + 528114.

Almost surely, 2^120912000 is an apocalyptic number.

120912000 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 120912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219585600).

120912000 is an abundant number, since it is smaller than the sum of its proper divisors (318259200).

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

120912000 is a wasteful number, since it uses less digits than its factorization.

120912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 120912000 is about 10995.9992724627. Note that the first 3 decimals coincide. The cubic root of 120912000 is about 494.4888100951.

The spelling of 120912000 in words is "one hundred twenty million, nine hundred twelve thousand".