122102228976 has 480 divisors, whose sum is σ = 422295471360. Its totient is φ = 30042980352.

The previous prime is 122102228951. The next prime is 122102228977. The reversal of 122102228976 is 679822201221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102228977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38921680 + ... + 38924816.

It is an arithmetic number, because the mean of its divisors is an integer number (879782232).

Almost surely, 2^122102228976 is an apocalyptic number.

122102228976 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 122102228976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211147735680).

122102228976 is an abundant number, since it is smaller than the sum of its proper divisors (300193242384).

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

122102228976 is a wasteful number, since it uses less digits than its factorization.

122102228976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 122102228976 in words is "one hundred twenty-two billion, one hundred two million, two hundred twenty-eight thousand, nine hundred seventy-six".