120810400 has 36 divisors (see below), whose sum is σ = 294930342. Its totient is φ = 48323840.

The previous prime is 120810377. The next prime is 120810407. The reversal of 120810400 is 4018021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 48832144 + 71978256 = 6988^2 + 8484^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (120810407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74707 + ... + 76306.

Almost surely, 2^120810400 is an apocalyptic number.

120810400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120810400 is an abundant number, since it is smaller than the sum of its proper divisors (174119942).

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

120810400 is a wasteful number, since it uses less digits than its factorization.

120810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151033 (or 151020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 120810400 is about 10991.3784394861. The cubic root of 120810400 is about 494.3502681759.

Adding to 120810400 its reverse (4018021), we get a palindrome (124828421).

The spelling of 120810400 in words is "one hundred twenty million, eight hundred ten thousand, four hundred".