121924838304 has 384 divisors, whose sum is σ = 387592853760. Its totient is φ = 37136793600.

The previous prime is 121924838279. The next prime is 121924838327. The reversal of 121924838304 is 403838429121.

121924838304 is a `hidden beast` number, since 1 + 2 + 1 + 92 + 483 + 83 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121924838304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176446599 + ... + 176447289.

It is an arithmetic number, because the mean of its divisors is an integer number (1009356390).

Almost surely, 2^121924838304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121924838304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193796426880).

121924838304 is an abundant number, since it is smaller than the sum of its proper divisors (265668015456).

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

121924838304 is a wasteful number, since it uses less digits than its factorization.

121924838304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 121924838304 in words is "one hundred twenty-one billion, nine hundred twenty-four million, eight hundred thirty-eight thousand, three hundred four".