120800100 has 72 divisors (see below), whose sum is σ = 367927840. Its totient is φ = 30516480.

The previous prime is 120800089. The next prime is 120800107. The reversal of 120800100 is 1008021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120800107) 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, 4897 + ... + 16296.

Almost surely, 2^120800100 is an apocalyptic number.

120800100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120800100 is an abundant number, since it is smaller than the sum of its proper divisors (247127740).

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

120800100 is a wasteful number, since it uses less digits than its factorization.

120800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21229 (or 21222 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 120800100 is about 10990.9098804421. The cubic root of 120800100 is about 494.3362187440.

Adding to 120800100 its reverse (1008021), we get a palindrome (121808121).

The spelling of 120800100 in words is "one hundred twenty million, eight hundred thousand, one hundred".