121389633792 has 432 divisors, whose sum is σ = 408288771072. Its totient is φ = 33970728960.

The previous prime is 121389633763. The next prime is 121389633899. The reversal of 121389633792 is 297336983121.

121389633792 is a `hidden beast` number, since 1 + 2 + 138 + 96 + 337 + 92 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259934743 + ... + 259935209.

It is an arithmetic number, because the mean of its divisors is an integer number (945112896).

Almost surely, 2^121389633792 is an apocalyptic number.

121389633792 is a gapful number since it is divisible by the number (12) 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 121389633792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204144385536).

121389633792 is an abundant number, since it is smaller than the sum of its proper divisors (286899137280).

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

121389633792 is a wasteful number, since it uses less digits than its factorization.

121389633792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 777 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 121389633792 in words is "one hundred twenty-one billion, three hundred eighty-nine million, six hundred thirty-three thousand, seven hundred ninety-two".