120042132 has 48 divisors (see below), whose sum is σ = 323729280. Its totient is φ = 33910272.

The previous prime is 120042127. The next prime is 120042161. The reversal of 120042132 is 231240021.

It is a super-2 number, since 2×120042132² = 28820226910210848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553 + ... + 15504.

It is an arithmetic number, because the mean of its divisors is an integer number (6744360).

Almost surely, 2^120042132 is an apocalyptic number.

120042132 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 120042132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161864640).

120042132 is an abundant number, since it is smaller than the sum of its proper divisors (203687148).

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

120042132 is a wasteful number, since it uses less digits than its factorization.

120042132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16160 (or 16158 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120042132 is about 10956.3740352363. The cubic root of 120042132 is about 493.3001339155.

Adding to 120042132 its reverse (231240021), we get a palindrome (351282153).

The spelling of 120042132 in words is "one hundred twenty million, forty-two thousand, one hundred thirty-two".