120364500 has 96 divisors (see below), whose sum is σ = 362718720. Its totient is φ = 30979200.

The previous prime is 120364483. The next prime is 120364513. The reversal of 120364500 is 5463021.

It is a happy number.

It is a super-2 number, since 2×120364500² = 28975225720500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42117 + ... + 44883.

It is an arithmetic number, because the mean of its divisors is an integer number (3778320).

Almost surely, 2^120364500 is an apocalyptic number.

120364500 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 120364500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181359360).

120364500 is an abundant number, since it is smaller than the sum of its proper divisors (242354220).

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

120364500 is a wasteful number, since it uses less digits than its factorization.

120364500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 120364500 is about 10971.0756081617. The cubic root of 120364500 is about 493.7413180122.

It can be divided in two parts, 1203 and 64500, that added together give a triangular number (65703 = T₃₆₂).

The spelling of 120364500 in words is "one hundred twenty million, three hundred sixty-four thousand, five hundred".