120577600 has 336 divisors, whose sum is σ = 380975616. Its totient is φ = 36864000.

The previous prime is 120577573. The next prime is 120577619. The reversal of 120577600 is 6775021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3889585 + ... + 3889615.

It is an arithmetic number, because the mean of its divisors is an integer number (1133856).

Almost surely, 2^120577600 is an apocalyptic number.

120577600 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 120577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190487808).

120577600 is an abundant number, since it is smaller than the sum of its proper divisors (260398016).

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

120577600 is a wasteful number, since it uses less digits than its factorization.

120577600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 120577600 is about 10980.7832143249. The cubic root of 120577600 is about 494.0325285775.

The spelling of 120577600 in words is "one hundred twenty million, five hundred seventy-seven thousand, six hundred".