122828007744 has 224 divisors, whose sum is σ = 389325104000. Its totient is φ = 37748809728.

The previous prime is 122828007733. The next prime is 122828007761. The reversal of 122828007744 is 447700828221.

It is a self number, because there is not a number n which added to its sum of digits gives 122828007744.

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, 22663467 + ... + 22668885.

It is an arithmetic number, because the mean of its divisors is an integer number (1738058500).

Almost surely, 2^122828007744 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 122828007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194662552000).

122828007744 is an abundant number, since it is smaller than the sum of its proper divisors (266497096256).

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

122828007744 is a wasteful number, since it uses less digits than its factorization.

122828007744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462 (or 6446 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 122828007744 in words is "one hundred twenty-two billion, eight hundred twenty-eight million, seven thousand, seven hundred forty-four".