120094632 has 96 divisors (see below), whose sum is σ = 373651200. Its totient is φ = 34134912.

The previous prime is 120094627. The next prime is 120094673. The reversal of 120094632 is 236490021.

120094632 is a `hidden beast` number, since 1 + 20 + 0 + 9 + 4 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120094596 and 120094605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119958 + ... + 120954.

It is an arithmetic number, because the mean of its divisors is an integer number (3892200).

Almost surely, 2^120094632 is an apocalyptic number.

120094632 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 120094632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186825600).

120094632 is an abundant number, since it is smaller than the sum of its proper divisors (253556568).

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

120094632 is a wasteful number, since it uses less digits than its factorization.

120094632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 120094632 is about 10958.7696389695. The cubic root of 120094632 is about 493.3720377880.

It can be divided in two parts, 12009 and 4632, that added together give a square (16641 = 129²).

The spelling of 120094632 in words is "one hundred twenty million, ninety-four thousand, six hundred thirty-two".