120723600 has 120 divisors (see below), whose sum is σ = 397315840. Its totient is φ = 31311360.

The previous prime is 120723599. The next prime is 120723601. The reversal of 120723600 is 6327021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120723599) and next prime (120723601).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (120723601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43041 + ... + 45759.

Almost surely, 2^120723600 is an apocalyptic number.

120723600 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 120723600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198657920).

120723600 is an abundant number, since it is smaller than the sum of its proper divisors (276592240).

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

120723600 is a wasteful number, since it uses less digits than its factorization.

120723600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 120723600 is about 10987.4291806591. The cubic root of 120723600 is about 494.2318460203.

The spelling of 120723600 in words is "one hundred twenty million, seven hundred twenty-three thousand, six hundred".