121396829184 has 528 divisors, whose sum is σ = 394541072640. Its totient is φ = 35749232640.

The previous prime is 121396829131. The next prime is 121396829209. The reversal of 121396829184 is 481928693121.

It is a happy number.

121396829184 is a `hidden beast` number, since 1 + 213 + 9 + 68 + 291 + 84 = 666.

121396829184 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121396829184.

It is a congruent number.

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, 212603619 + ... + 212604189.

It is an arithmetic number, because the mean of its divisors is an integer number (747236880).

Almost surely, 2^121396829184 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 121396829184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197270536320).

121396829184 is an abundant number, since it is smaller than the sum of its proper divisors (273144243456).

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

121396829184 is a wasteful number, since it uses less digits than its factorization.

121396829184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 675 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 121396829184 in words is "one hundred twenty-one billion, three hundred ninety-six million, eight hundred twenty-nine thousand, one hundred eighty-four".