120136632 has 192 divisors, whose sum is σ = 392999040. Its totient is φ = 30240000.

The previous prime is 120136631. The next prime is 120136649. The reversal of 120136632 is 236631021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120136631) 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 47 ways as a sum of consecutive naturals, for example, 478507 + ... + 478757.

It is an arithmetic number, because the mean of its divisors is an integer number (2046870).

Almost surely, 2^120136632 is an apocalyptic number.

120136632 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 120136632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196499520).

120136632 is an abundant number, since it is smaller than the sum of its proper divisors (272862408).

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

120136632 is a wasteful number, since it uses less digits than its factorization.

120136632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 120136632 is about 10960.6857449705. The cubic root of 120136632 is about 493.4295457995.

Adding to 120136632 its reverse (236631021), we get a palindrome (356767653).

The spelling of 120136632 in words is "one hundred twenty million, one hundred thirty-six thousand, six hundred thirty-two".