122126581248 has 320 divisors, whose sum is σ = 396879740928. Its totient is φ = 32575979520.

The previous prime is 122126581237. The next prime is 122126581271. The reversal of 122126581248 is 842185621221.

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

It is a congruent number.

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, 23210938 + ... + 23216198.

Almost surely, 2^122126581248 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 122126581248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198439870464).

122126581248 is an abundant number, since it is smaller than the sum of its proper divisors (274753159680).

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

122126581248 is a wasteful number, since it uses less digits than its factorization.

122126581248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433 (or 5417 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The spelling of 122126581248 in words is "one hundred twenty-two billion, one hundred twenty-six million, five hundred eighty-one thousand, two hundred forty-eight".