122822796096 has 560 divisors, whose sum is σ = 488862380160. Its totient is φ = 29446778880.

The previous prime is 122822796077. The next prime is 122822796097. The reversal of 122822796096 is 690697228221.

122822796096 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 2 + 27 + 9 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122822796097) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5177350 + ... + 5201018.

It is an arithmetic number, because the mean of its divisors is an integer number (872968536).

Almost surely, 2^122822796096 is an apocalyptic number.

122822796096 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 122822796096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244431190080).

122822796096 is an abundant number, since it is smaller than the sum of its proper divisors (366039584064).

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

122822796096 is a wasteful number, since it uses less digits than its factorization.

122822796096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23724 (or 23705 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 122822796096 in words is "one hundred twenty-two billion, eight hundred twenty-two million, seven hundred ninety-six thousand, ninety-six".