121245768864 has 960 divisors, whose sum is σ = 440489871360. Its totient is φ = 32271022080.

The previous prime is 121245768781. The next prime is 121245768911. The reversal of 121245768864 is 468867542121.

121245768864 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 4 + 576 + 8 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 121245768864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 461010397 + ... + 461010659.

It is an arithmetic number, because the mean of its divisors is an integer number (458843616).

Almost surely, 2^121245768864 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 121245768864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220244935680).

121245768864 is an abundant number, since it is smaller than the sum of its proper divisors (319244102496).

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

121245768864 is a wasteful number, since it uses less digits than its factorization.

121245768864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 358 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 121245768864 in words is "one hundred twenty-one billion, two hundred forty-five million, seven hundred sixty-eight thousand, eight hundred sixty-four".