121393213920 has 384 divisors, whose sum is σ = 465201999360. Its totient is φ = 29320704000.

The previous prime is 121393213891. The next prime is 121393213939. The reversal of 121393213920 is 29312393121.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13348575 + ... + 13357665.

It is an arithmetic number, because the mean of its divisors is an integer number (1211463540).

Almost surely, 2^121393213920 is an apocalyptic number.

121393213920 is a gapful number since it is divisible by the number (10) 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 121393213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232600999680).

121393213920 is an abundant number, since it is smaller than the sum of its proper divisors (343808785440).

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

121393213920 is a wasteful number, since it uses less digits than its factorization.

121393213920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9407 (or 9393 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 121393213920 in words is "one hundred twenty-one billion, three hundred ninety-three million, two hundred thirteen thousand, nine hundred twenty".