122652216960768 has 432 divisors, whose sum is σ = 399635449405920. Its totient is φ = 35853366067200.

The previous prime is 122652216960673. The next prime is 122652216960799. The reversal of 122652216960768 is 867069612256221.

122652216960768 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 5 + 2 + 2 + 16 + 9 + 607 + 6 + 8 = 666.

122652216960768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122652216960768² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91817130 + ... + 93143382.

It is an arithmetic number, because the mean of its divisors is an integer number (925082058810).

Almost surely, 2^{122652216960768} is an apocalyptic number.

122652216960768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122652216960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199817724702960).

122652216960768 is an abundant number, since it is smaller than the sum of its proper divisors (276983232445152).

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

122652216960768 is a wasteful number, since it uses less digits than its factorization.

122652216960768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326416 (or 1326399 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 122652216960768 in words is "one hundred twenty-two trillion, six hundred fifty-two billion, two hundred sixteen million, nine hundred sixty thousand, seven hundred sixty-eight".