122698896768 has 1024 divisors, whose sum is σ = 459571200000. Its totient is φ = 31442411520.

The previous prime is 122698896713. The next prime is 122698896769. The reversal of 122698896768 is 867698896221.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122698896696 and 122698896705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122698896769) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1125677898 + ... + 1125678006.

It is an arithmetic number, because the mean of its divisors is an integer number (448800000).

Almost surely, 2^122698896768 is an apocalyptic number.

122698896768 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 122698896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229785600000).

122698896768 is an abundant number, since it is smaller than the sum of its proper divisors (336872303232).

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

122698896768 is a wasteful number, since it uses less digits than its factorization.

122698896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 122698896768 in words is "one hundred twenty-two billion, six hundred ninety-eight million, eight hundred ninety-six thousand, seven hundred sixty-eight".