632120120 has 64 divisors (see below), whose sum is σ = 1502928000. Its totient is φ = 238612608.

The previous prime is 632120119. The next prime is 632120123. The reversal of 632120120 is 21021236.

632120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×632120120² = 799151692217628800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632120123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213611 + ... + 216549.

It is an arithmetic number, because the mean of its divisors is an integer number (23483250).

Almost surely, 2^632120120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751464000).

632120120 is an abundant number, since it is smaller than the sum of its proper divisors (870807880).

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

632120120 is a wasteful number, since it uses less digits than its factorization.

632120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 632120120 is about 25141.9991249702. Note that the first 3 decimals coincide. The cubic root of 632120120 is about 858.2224507113. Note that the first 3 decimals are identical.

Adding to 632120120 its reverse (21021236), we get a palindrome (653141356).

The spelling of 632120120 in words is "six hundred thirty-two million, one hundred twenty thousand, one hundred twenty".