120400100 has 36 divisors (see below), whose sum is σ = 266209524. Its totient is φ = 47249280.

The previous prime is 120400081. The next prime is 120400117. The reversal of 120400100 is 1004021.

It can be written as a sum of positive squares in 6 ways, for example, as 1459264 + 118940836 = 1208^2 + 10906^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6059 + ... + 16658.

It is an arithmetic number, because the mean of its divisors is an integer number (7394709).

Almost surely, 2^120400100 is an apocalyptic number.

120400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120400100 is an abundant number, since it is smaller than the sum of its proper divisors (145809424).

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

120400100 is a wasteful number, since it uses less digits than its factorization.

120400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22784 (or 22777 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 120400100 is about 10972.6979362416. The cubic root of 120400100 is about 493.7899908858.

Adding to 120400100 its reverse (1004021), we get a palindrome (121404121).

The spelling of 120400100 in words is "one hundred twenty million, four hundred thousand, one hundred".