122971552928 has 192 divisors, whose sum is σ = 289950990336. Its totient is φ = 50232960000.

The previous prime is 122971552919. The next prime is 122971552967. The reversal of 122971552928 is 829255179221.

It is a Cunningham number, because it is equal to 350673²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 122971552928.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190063901 + ... + 190064547.

It is an arithmetic number, because the mean of its divisors is an integer number (1510161408).

Almost surely, 2^122971552928 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 122971552928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144975495168).

122971552928 is an abundant number, since it is smaller than the sum of its proper divisors (166979437408).

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

122971552928 is a wasteful number, since it uses less digits than its factorization.

122971552928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 53.

The spelling of 122971552928 in words is "one hundred twenty-two billion, nine hundred seventy-one million, five hundred fifty-two thousand, nine hundred twenty-eight".