122879197736001 has 48 divisors (see below), whose sum is σ = 204821993226240. Its totient is φ = 69533477364960.

The previous prime is 122879197735999. The next prime is 122879197736011. The reversal of 122879197736001 is 100637791978221.

122879197736001 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 7 + 9 + 19 + 7 + 7 + 3 + 600 + 1 = 666.

It is not a de Polignac number, because 122879197736001 - 2¹ = 122879197735999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 122879197736001.

It is not an unprimeable number, because it can be changed into a prime (122879197736011) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 348406336 + ... + 348758846.

It is an arithmetic number, because the mean of its divisors is an integer number (4267124858880).

Almost surely, 2^{122879197736001} is an apocalyptic number.

It is an amenable number.

122879197736001 is a deficient number, since it is larger than the sum of its proper divisors (81942795490239).

122879197736001 is a wasteful number, since it uses less digits than its factorization.

122879197736001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406346 (or 406343 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 122879197736001 in words is "one hundred twenty-two trillion, eight hundred seventy-nine billion, one hundred ninety-seven million, seven hundred thirty-six thousand, one".