121914205920 has 768 divisors, whose sum is σ = 477956505600. Its totient is φ = 28821381120.

The previous prime is 121914205859. The next prime is 121914205939. The reversal of 121914205920 is 29502419121.

121914205920 is a `hidden beast` number, since 1 + 21 + 9 + 1 + 42 + 0 + 592 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 416089294 + ... + 416089586.

It is an arithmetic number, because the mean of its divisors is an integer number (622339200).

Almost surely, 2^121914205920 is an apocalyptic number.

121914205920 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 121914205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238978252800).

121914205920 is an abundant number, since it is smaller than the sum of its proper divisors (356042299680).

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

121914205920 is a wasteful number, since it uses less digits than its factorization.

121914205920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 121914205920 in words is "one hundred twenty-one billion, nine hundred fourteen million, two hundred five thousand, nine hundred twenty".