122288183971968 has 1024 divisors, whose sum is σ = 392026057113600. Its totient is φ = 33046659072000.

The previous prime is 122288183971909. The next prime is 122288183972021. The reversal of 122288183971968 is 869179381882221.

It is a self number, because there is not a number n which added to its sum of digits gives 122288183971968.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 304958064568 + ... + 304958064968.

It is an arithmetic number, because the mean of its divisors is an integer number (382837946400).

Almost surely, 2^{122288183971968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122288183971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196013028556800).

122288183971968 is an abundant number, since it is smaller than the sum of its proper divisors (269737873141632).

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

122288183971968 is a wasteful number, since it uses less digits than its factorization.

122288183971968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 929 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 75.

The spelling of 122288183971968 in words is "one hundred twenty-two trillion, two hundred eighty-eight billion, one hundred eighty-three million, nine hundred seventy-one thousand, nine hundred sixty-eight".