120936312 has 192 divisors, whose sum is σ = 393120000. Its totient is φ = 33558336.

The previous prime is 120936271. The next prime is 120936337. The reversal of 120936312 is 213639021.

120936312 is a `hidden beast` number, since 1 + 20 + 9 + 3 + 631 + 2 = 666.

It is a super-2 number, since 2×120936312² = 29251183120322688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457023 + ... + 1457105.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500).

Almost surely, 2^120936312 is an apocalyptic number.

120936312 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 120936312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

120936312 is an abundant number, since it is smaller than the sum of its proper divisors (272183688).

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

120936312 is a wasteful number, since it uses less digits than its factorization.

120936312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 120936312 is about 10997.1047098771. The cubic root of 120936312 is about 494.5219504679.

The spelling of 120936312 in words is "one hundred twenty million, nine hundred thirty-six thousand, three hundred twelve".