121924796224 has 224 divisors, whose sum is σ = 308414391552. Its totient is φ = 46835712000.

The previous prime is 121924796207. The next prime is 121924796269. The reversal of 121924796224 is 422697429121.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43527624 + ... + 43530424.

Almost surely, 2^121924796224 is an apocalyptic number.

121924796224 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 121924796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154207195776).

121924796224 is an abundant number, since it is smaller than the sum of its proper divisors (186489595328).

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

121924796224 is an equidigital number, since it uses as much as digits as its factorization.

121924796224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2894 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The spelling of 121924796224 in words is "one hundred twenty-one billion, nine hundred twenty-four million, seven hundred ninety-six thousand, two hundred twenty-four".