120274632 has 80 divisors (see below), whose sum is σ = 338526540. Its totient is φ = 39896064.

The previous prime is 120274621. The next prime is 120274657. The reversal of 120274632 is 236472021.

120274632 is a `hidden beast` number, since 1 + 2 + 0 + 27 + 4 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110124036 + 10150596 = 10494^2 + 3186^2 .

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 = 120274596 and 120274605.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202528 + ... + 203120.

Almost surely, 2^120274632 is an apocalyptic number.

120274632 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 120274632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169263270).

120274632 is an abundant number, since it is smaller than the sum of its proper divisors (218251908).

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

120274632 is a wasteful number, since it uses less digits than its factorization.

120274632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 120274632 is about 10966.9791647472. The cubic root of 120274632 is about 493.6184063773.

The spelling of 120274632 in words is "one hundred twenty million, two hundred seventy-four thousand, six hundred thirty-two".