122120120976 has 320 divisors, whose sum is σ = 392779860480. Its totient is φ = 31897681920.

The previous prime is 122120120963. The next prime is 122120120977. The reversal of 122120120976 is 679021021221.

It is not an unprimeable number, because it can be changed into a prime (122120120977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60186330 + ... + 60188358.

It is an arithmetic number, because the mean of its divisors is an integer number (1227437064).

Almost surely, 2^122120120976 is an apocalyptic number.

122120120976 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 122120120976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196389930240).

122120120976 is an abundant number, since it is smaller than the sum of its proper divisors (270659739504).

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

122120120976 is a wasteful number, since it uses less digits than its factorization.

122120120976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 122120120976 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred twenty thousand, nine hundred seventy-six".