120625200 has 360 divisors, whose sum is σ = 465938928. Its totient is φ = 29859840.

The previous prime is 120625199. The next prime is 120625207. The reversal of 120625200 is 2526021.

120625200 is a `hidden beast` number, since 1 + 20 + 625 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120625207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1652364 + ... + 1652436.

Almost surely, 2^120625200 is an apocalyptic number.

120625200 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 120625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232969464).

120625200 is an abundant number, since it is smaller than the sum of its proper divisors (345313728).

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

120625200 is a wasteful number, since it uses less digits than its factorization.

120625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120625200 is about 10982.9504232697. The cubic root of 120625200 is about 494.0975291929.

The spelling of 120625200 in words is "one hundred twenty million, six hundred twenty-five thousand, two hundred".