120400200 has 72 divisors (see below), whose sum is σ = 404350050. Its totient is φ = 32106240.

The previous prime is 120400177. The next prime is 120400211. The reversal of 120400200 is 2004021.

It can be written as a sum of positive squares in 3 ways, for example, as 85045284 + 35354916 = 9222^2 + 5946^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31645 + ... + 35244.

Almost surely, 2^120400200 is an apocalyptic number.

120400200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120400200 is an abundant number, since it is smaller than the sum of its proper divisors (283949850).

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

120400200 is a wasteful number, since it uses less digits than its factorization.

120400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66911 (or 66899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120400200 is about 10972.7024930051. The cubic root of 120400200 is about 493.7901275938.

Adding to 120400200 its reverse (2004021), we get a palindrome (122404221).

The spelling of 120400200 in words is "one hundred twenty million, four hundred thousand, two hundred".