120933456 has 80 divisors (see below), whose sum is σ = 358310400. Its totient is φ = 34429824.

The previous prime is 120933443. The next prime is 120933457. The reversal of 120933456 is 654339021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120933457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140355 + ... + 141213.

It is an arithmetic number, because the mean of its divisors is an integer number (4478880).

Almost surely, 2^120933456 is an apocalyptic number.

120933456 is a gapful number since it is divisible by the number (16) 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 120933456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179155200).

120933456 is an abundant number, since it is smaller than the sum of its proper divisors (237376944).

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

120933456 is a wasteful number, since it uses less digits than its factorization.

120933456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 120933456 is about 10996.9748567504. The cubic root of 120933456 is about 494.5180576040.

The spelling of 120933456 in words is "one hundred twenty million, nine hundred thirty-three thousand, four hundred fifty-six".