120755232 has 144 divisors (see below), whose sum is σ = 381840480. Its totient is φ = 37110528.

The previous prime is 120755227. The next prime is 120755237. The reversal of 120755232 is 232557021.

It is an interprime number because it is at equal distance from previous prime (120755227) and next prime (120755237).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×120755232⁴ (a number of 33 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120755196 and 120755205.

It is not an unprimeable number, because it can be changed into a prime (120755237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145603 + ... + 146429.

It is an arithmetic number, because the mean of its divisors is an integer number (2651670).

Almost surely, 2^120755232 is an apocalyptic number.

120755232 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 120755232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190920240).

120755232 is an abundant number, since it is smaller than the sum of its proper divisors (261085248).

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

120755232 is a wasteful number, since it uses less digits than its factorization.

120755232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 120755232 is about 10988.8685495823. The cubic root of 120755232 is about 494.2750084633.

The spelling of 120755232 in words is "one hundred twenty million, seven hundred fifty-five thousand, two hundred thirty-two".