120945600 has 252 divisors, whose sum is σ = 443432184. Its totient is φ = 31242240.

The previous prime is 120945577. The next prime is 120945641. The reversal of 120945600 is 6549021.

120945600 is a `hidden beast` number, since 1 + 209 + 456 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532687 + ... + 532913.

Almost surely, 2^120945600 is an apocalyptic number.

120945600 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 120945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221716092).

120945600 is an abundant number, since it is smaller than the sum of its proper divisors (322486584).

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

120945600 is a wasteful number, since it uses less digits than its factorization.

120945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 120945600 is about 10997.5269947384. The cubic root of 120945600 is about 494.5346100301.

The spelling of 120945600 in words is "one hundred twenty million, nine hundred forty-five thousand, six hundred".