121582944 has 120 divisors (see below), whose sum is σ = 408714768. Its totient is φ = 34732800.

The previous prime is 121582939. The next prime is 121583003. The reversal of 121582944 is 449285121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121582899 and 121582908.

It is a congruent number.

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, 14794 + ... + 21494.

Almost surely, 2^121582944 is an apocalyptic number.

121582944 is a gapful number since it is divisible by the number (14) 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 121582944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204357384).

121582944 is an abundant number, since it is smaller than the sum of its proper divisors (287131824).

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

121582944 is an equidigital number, since it uses as much as digits as its factorization.

121582944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 6713 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 121582944 is about 11026.4656168693. The cubic root of 121582944 is about 495.4017674805.

The spelling of 121582944 in words is "one hundred twenty-one million, five hundred eighty-two thousand, nine hundred forty-four".