120252132 has 288 divisors, whose sum is σ = 422682624. Its totient is φ = 27820800.

The previous prime is 120252107. The next prime is 120252151. The reversal of 120252132 is 231252021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1693657 + ... + 1693727.

It is an arithmetic number, because the mean of its divisors is an integer number (1467648).

Almost surely, 2^120252132 is an apocalyptic number.

120252132 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 120252132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312).

120252132 is an abundant number, since it is smaller than the sum of its proper divisors (302430492).

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

120252132 is a wasteful number, since it uses less digits than its factorization.

120252132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120252132 is about 10965.9533101322. The cubic root of 120252132 is about 493.5876237520.

It can be divided in two parts, 120 and 252132, that added together give a palindrome (252252).

The spelling of 120252132 in words is "one hundred twenty million, two hundred fifty-two thousand, one hundred thirty-two".