132120120 has 128 divisors (see below), whose sum is σ = 437114880. Its totient is φ = 31680000.

The previous prime is 132120103. The next prime is 132120151. The reversal of 132120120 is 21021231.

It is a super-2 number, since 2×132120120² = 34911452217628800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132120096 and 132120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132825 + ... + 133815.

It is an arithmetic number, because the mean of its divisors is an integer number (3414960).

Almost surely, 2^132120120 is an apocalyptic number.

132120120 is a gapful number since it is divisible by the number (10) 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 132120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218557440).

132120120 is an abundant number, since it is smaller than the sum of its proper divisors (304994760).

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

132120120 is a wasteful number, since it uses less digits than its factorization.

132120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132120120 is about 11494.3516563571. The cubic root of 132120120 is about 509.3187366564.

Adding to 132120120 its reverse (21021231), we get a palindrome (153141351).

The spelling of 132120120 in words is "one hundred thirty-two million, one hundred twenty thousand, one hundred twenty".