120613800 has 96 divisors (see below), whose sum is σ = 383100480. Its totient is φ = 31372800.

The previous prime is 120613799. The next prime is 120613807. The reversal of 120613800 is 8316021.

It is not an unprimeable number, because it can be changed into a prime (120613807) 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, 22149 + ... + 27051.

It is an arithmetic number, because the mean of its divisors is an integer number (3990630).

Almost surely, 2^120613800 is an apocalyptic number.

120613800 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 120613800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191550240).

120613800 is an abundant number, since it is smaller than the sum of its proper divisors (262486680).

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

120613800 is a wasteful number, since it uses less digits than its factorization.

120613800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 120613800 is about 10982.4314247802. The cubic root of 120613800 is about 494.0819633761.

Adding to 120613800 its reverse (8316021), we get a palindrome (128929821).

The spelling of 120613800 in words is "one hundred twenty million, six hundred thirteen thousand, eight hundred".