122553956363112 has 192 divisors, whose sum is σ = 352008532512000. Its totient is φ = 39931531870464.

The previous prime is 122553956363063. The next prime is 122553956363123. The reversal of 122553956363112 is 211363659355221.

122553956363112 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 3 + 9 + 563 + 63 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25504689 + ... + 29926527.

It is an arithmetic number, because the mean of its divisors is an integer number (1833377773500).

Almost surely, 2^{122553956363112} is an apocalyptic number.

122553956363112 is a gapful number since it is divisible by the number (12) 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 122553956363112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176004266256000).

122553956363112 is an abundant number, since it is smaller than the sum of its proper divisors (229454576148888).

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

122553956363112 is a wasteful number, since it uses less digits than its factorization.

122553956363112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422182 (or 4422166 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 54.

The spelling of 122553956363112 in words is "one hundred twenty-two trillion, five hundred fifty-three billion, nine hundred fifty-six million, three hundred sixty-three thousand, one hundred twelve".