120912400 has 180 divisors, whose sum is σ = 350572800. Its totient is φ = 39916800.

The previous prime is 120912353. The next prime is 120912401. The reversal of 120912400 is 4219021.

It is not an unprimeable number, because it can be changed into a prime (120912401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 607501 + ... + 607699.

Almost surely, 2^120912400 is an apocalyptic number.

120912400 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 120912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175286400).

120912400 is an abundant number, since it is smaller than the sum of its proper divisors (229660400).

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

120912400 is a wasteful number, since it uses less digits than its factorization.

120912400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 120912400 is about 10996.0174608810. The cubic root of 120912400 is about 494.4893553823.

The spelling of 120912400 in words is "one hundred twenty million, nine hundred twelve thousand, four hundred".