122263076127744 has 1056 divisors, whose sum is σ = 385577908784640. Its totient is φ = 37222082150400.

The previous prime is 122263076127713. The next prime is 122263076127761. The reversal of 122263076127744 is 447721670362221.

122263076127744 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 6 + 307 + 61 + 277 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115233812974 + ... + 115233814034.

It is an arithmetic number, because the mean of its divisors is an integer number (365130595440).

Almost surely, 2^{122263076127744} 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 122263076127744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192788954392320).

122263076127744 is an abundant number, since it is smaller than the sum of its proper divisors (263314832656896).

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

122263076127744 is a wasteful number, since it uses less digits than its factorization.

122263076127744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 122263076127744 in words is "one hundred twenty-two trillion, two hundred sixty-three billion, seventy-six million, one hundred twenty-seven thousand, seven hundred forty-four".