120573600 has 144 divisors (see below), whose sum is σ = 448596288. Its totient is φ = 27555840.

The previous prime is 120573581. The next prime is 120573611. The reversal of 120573600 is 6375021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13212 + ... + 20388.

It is an arithmetic number, because the mean of its divisors is an integer number (3115252).

Almost surely, 2^120573600 is an apocalyptic number.

120573600 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 120573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224298144).

120573600 is an abundant number, since it is smaller than the sum of its proper divisors (328022688).

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

120573600 is a wasteful number, since it uses less digits than its factorization.

120573600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7207 (or 7194 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 120573600 is about 10980.6010764439. The cubic root of 120573600 is about 494.0270655618.

The spelling of 120573600 in words is "one hundred twenty million, five hundred seventy-three thousand, six hundred".