121615845120 has 1152 divisors, whose sum is σ = 561734369280. Its totient is φ = 24159928320.

The previous prime is 121615845101. The next prime is 121615845133. The reversal of 121615845120 is 21548516121.

121615845120 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 1 + 584 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61204767 + ... + 61206753.

It is an arithmetic number, because the mean of its divisors is an integer number (487616640).

Almost surely, 2^121615845120 is an apocalyptic number.

121615845120 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 121615845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280867184640).

121615845120 is an abundant number, since it is smaller than the sum of its proper divisors (440118524160).

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

121615845120 is a wasteful number, since it uses less digits than its factorization.

121615845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 121615845120 in words is "one hundred twenty-one billion, six hundred fifteen million, eight hundred forty-five thousand, one hundred twenty".