120947112 has 192 divisors, whose sum is σ = 408058560. Its totient is φ = 31795200.

The previous prime is 120947083. The next prime is 120947131. The reversal of 120947112 is 211749021.

It is a super-2 number, since 2×120947112² = 29256407802281088, which contains 22 as substring.

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, 174687 + ... + 175377.

It is an arithmetic number, because the mean of its divisors is an integer number (2125305).

Almost surely, 2^120947112 is an apocalyptic number.

120947112 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 120947112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204029280).

120947112 is an abundant number, since it is smaller than the sum of its proper divisors (287111448).

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

120947112 is a wasteful number, since it uses less digits than its factorization.

120947112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 120947112 is about 10997.5957372509. The cubic root of 120947112 is about 494.5366708277.

The spelling of 120947112 in words is "one hundred twenty million, nine hundred forty-seven thousand, one hundred twelve".