123226621056 has 512 divisors, whose sum is σ = 480121344000. Its totient is φ = 30123048960.

The previous prime is 123226621051. The next prime is 123226621079. The reversal of 123226621056 is 650126622321.

123226621056 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 26 + 621 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 123226621056.

It is not an unprimeable number, because it can be changed into a prime (123226621051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4510285 + ... + 4537523.

It is an arithmetic number, because the mean of its divisors is an integer number (937737000).

Almost surely, 2^123226621056 is an apocalyptic number.

123226621056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123226621056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240060672000).

123226621056 is an abundant number, since it is smaller than the sum of its proper divisors (356894722944).

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

123226621056 is a wasteful number, since it uses less digits than its factorization.

123226621056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27297 (or 27279 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 123226621056 in words is "one hundred twenty-three billion, two hundred twenty-six million, six hundred twenty-one thousand, fifty-six".