122268496896 has 880 divisors, whose sum is σ = 456726902016. Its totient is φ = 31723094016.

The previous prime is 122268496873. The next prime is 122268496949. The reversal of 122268496896 is 698694862221.

122268496896 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 68 + 496 + 89 + 6 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 732146605 + ... + 732146771.

Almost surely, 2^122268496896 is an apocalyptic number.

122268496896 is a gapful number since it is divisible by the number (16) 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 122268496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228363451008).

122268496896 is an abundant number, since it is smaller than the sum of its proper divisors (334458405120).

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

122268496896 is a wasteful number, since it uses less digits than its factorization.

122268496896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 289 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 122268496896 in words is "one hundred twenty-two billion, two hundred sixty-eight million, four hundred ninety-six thousand, eight hundred ninety-six".