120031600 has 120 divisors (see below), whose sum is σ = 318698352. Its totient is φ = 43161600.

The previous prime is 120031567. The next prime is 120031603. The reversal of 120031600 is 6130021.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120031603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212919 + ... + 213481.

Almost surely, 2^120031600 is an apocalyptic number.

120031600 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 120031600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159349176).

120031600 is an abundant number, since it is smaller than the sum of its proper divisors (198666752).

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

120031600 is a wasteful number, since it uses less digits than its factorization.

120031600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 120031600 is about 10955.8933912301. The cubic root of 120031600 is about 493.2857067893.

Adding to 120031600 its reverse (6130021), we get a palindrome (126161621).

The spelling of 120031600 in words is "one hundred twenty million, thirty-one thousand, six hundred".