122701978762704 has 1600 divisors, whose sum is σ = 415110187819008. Its totient is φ = 34649084620800.

The previous prime is 122701978762703. The next prime is 122701978762739. The reversal of 122701978762704 is 407267879107221.

122701978762704 is a `hidden beast` number, since 1 + 2 + 270 + 1 + 97 + 8 + 7 + 6 + 270 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122701978762703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 433575896547 + ... + 433575896829.

Almost surely, 2^{122701978762704} 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 122701978762704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207555093909504).

122701978762704 is an abundant number, since it is smaller than the sum of its proper divisors (292408209056304).

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

122701978762704 is a wasteful number, since it uses less digits than its factorization.

122701978762704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 122701978762704 in words is "one hundred twenty-two trillion, seven hundred one billion, nine hundred seventy-eight million, seven hundred sixty-two thousand, seven hundred four".