121234651020864 has 448 divisors, whose sum is σ = 374880006144000. Its totient is φ = 38364230983680.

The previous prime is 121234651020841. The next prime is 121234651020883. The reversal of 121234651020864 is 468020156432121.

121234651020864 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 465 + 102 + 0 + 86 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10952623522 + ... + 10952634590.

It is an arithmetic number, because the mean of its divisors is an integer number (836785728000).

Almost surely, 2^{121234651020864} 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 121234651020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187440003072000).

121234651020864 is an abundant number, since it is smaller than the sum of its proper divisors (253645355123136).

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

121234651020864 is a wasteful number, since it uses less digits than its factorization.

121234651020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14763 (or 14747 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 121234651020864 in words is "one hundred twenty-one trillion, two hundred thirty-four billion, six hundred fifty-one million, twenty thousand, eight hundred sixty-four".