120400632 has 96 divisors (see below), whose sum is σ = 357654960. Its totient is φ = 36288000.

The previous prime is 120400619. The next prime is 120400639. The reversal of 120400632 is 236004021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120400639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222282 + ... + 222822.

Almost surely, 2^120400632 is an apocalyptic number.

120400632 is a gapful number since it is divisible by the number (12) 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 120400632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178827480).

120400632 is an abundant number, since it is smaller than the sum of its proper divisors (237254328).

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

120400632 is a wasteful number, since it uses less digits than its factorization.

120400632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120400632 is about 10972.7221782017. The cubic root of 120400632 is about 493.7907181717.

Adding to 120400632 its reverse (236004021), we get a palindrome (356404653).

The spelling of 120400632 in words is "one hundred twenty million, four hundred thousand, six hundred thirty-two".