122290590220128 has 288 divisors, whose sum is σ = 393450884386560. Its totient is φ = 37055771343360.

The previous prime is 122290590220111. The next prime is 122290590220133. The reversal of 122290590220128 is 821022095092221.

122290590220128 is a `hidden beast` number, since 1 + 2 + 2 + 29 + 0 + 590 + 2 + 20 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2773824901 + ... + 2773868987.

It is an arithmetic number, because the mean of its divisors is an integer number (1366148904120).

Almost surely, 2^{122290590220128} is an apocalyptic number.

122290590220128 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 122290590220128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196725442193280).

122290590220128 is an abundant number, since it is smaller than the sum of its proper divisors (271160294166432).

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

122290590220128 is a wasteful number, since it uses less digits than its factorization.

122290590220128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76552 (or 76532 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 122290590220128 in words is "one hundred twenty-two trillion, two hundred ninety billion, five hundred ninety million, two hundred twenty thousand, one hundred twenty-eight".