120265600 has 288 divisors, whose sum is σ = 378491400. Its totient is φ = 37416960.

The previous prime is 120265567. The next prime is 120265601. The reversal of 120265600 is 6562021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120265601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2038371 + ... + 2038429.

Almost surely, 2^120265600 is an apocalyptic number.

120265600 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 120265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189245700).

120265600 is an abundant number, since it is smaller than the sum of its proper divisors (258225800).

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

120265600 is a wasteful number, since it uses less digits than its factorization.

120265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 120265600 is about 10966.5673754370. The cubic root of 120265600 is about 493.6060500087.

The spelling of 120265600 in words is "one hundred twenty million, two hundred sixty-five thousand, six hundred".