121945824 has 480 divisors, whose sum is σ = 491774976. Its totient is φ = 28615680.

The previous prime is 121945799. The next prime is 121945853. The reversal of 121945824 is 428549121.

It is a super-3 number, since 3×121945824³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2594569 + ... + 2594615.

Almost surely, 2^121945824 is an apocalyptic number.

121945824 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 121945824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245887488).

121945824 is an abundant number, since it is smaller than the sum of its proper divisors (369829152).

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

121945824 is a wasteful number, since it uses less digits than its factorization.

121945824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

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

The square root of 121945824 is about 11042.9083125778. The cubic root of 121945824 is about 495.8941414740.

The spelling of 121945824 in words is "one hundred twenty-one million, nine hundred forty-five thousand, eight hundred twenty-four".