120773952 has 126 divisors (see below), whose sum is σ = 375764298. Its totient is φ = 36868608.

The previous prime is 120773869. The next prime is 120773953. The reversal of 120773952 is 259377021.

It can be written as a sum of positive squares in only one way, i.e., 83612736 + 37161216 = 9144^2 + 6096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120773953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 950913 + ... + 951039.

Almost surely, 2^120773952 is an apocalyptic number.

120773952 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 120773952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187882149).

120773952 is an abundant number, since it is smaller than the sum of its proper divisors (254990346).

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

120773952 is a wasteful number, since it uses less digits than its factorization.

120773952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 120773952 is about 10989.7202876142. The cubic root of 120773952 is about 494.3005486957.

The spelling of 120773952 in words is "one hundred twenty million, seven hundred seventy-three thousand, nine hundred fifty-two".