121567701336516 has 48 divisors (see below), whose sum is σ = 315178150694400. Its totient is φ = 40522229135136.

The previous prime is 121567701336467. The next prime is 121567701336551. The reversal of 121567701336516 is 615633107765121.

121567701336516 is a `hidden beast` number, since 1 + 2 + 1 + 56 + 7 + 70 + 1 + 3 + 3 + 6 + 516 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8485261 + ... + 17752043.

It is an arithmetic number, because the mean of its divisors is an integer number (6566211472800).

Almost surely, 2^{121567701336516} is an apocalyptic number.

It is an amenable number.

121567701336516 is an abundant number, since it is smaller than the sum of its proper divisors (193610449357884).

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

121567701336516 is a wasteful number, since it uses less digits than its factorization.

121567701336516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9388265 (or 9388257 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 121567701336516 in words is "one hundred twenty-one trillion, five hundred sixty-seven billion, seven hundred one million, three hundred thirty-six thousand, five hundred sixteen".