120932352 has 132 divisors (see below), whose sum is σ = 362706435. Its totient is φ = 40310784.

The previous prime is 120932347. The next prime is 120932353. The reversal of 120932352 is 253239021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (3!)¹⁰ ⋅ 2!.

It can be written as a sum of positive squares in only one way, i.e., 60466176 + 60466176 = 7776^2 + 7776^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7776.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (120932353) by changing a digit.

It is a polite number, since it can be written in 10 ways as a sum of consecutive naturals, for example, 40310783 + 40310784 + 40310785.

Almost surely, 2^120932352 is an apocalyptic number.

120932352 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 120932352

120932352 is an abundant number, since it is smaller than the sum of its proper divisors (241774083).

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

120932352 is an frugal number, since it uses more digits than its factorization.

120932352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 120932352 is about 10996.9246610132. The cubic root of 120932352 is about 494.5165527830.

The spelling of 120932352 in words is "one hundred twenty million, nine hundred thirty-two thousand, three hundred fifty-two".