122553305056512 has 324 divisors, whose sum is σ = 391831724685492. Its totient is φ = 36808706457600.

The previous prime is 122553305056463. The next prime is 122553305056537. The reversal of 122553305056512 is 215650503355221.

It is a happy number.

122553305056512 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 3 + 30 + 50 + 56 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6511805726976 + 116041499329536 = 2551824^2 + 10772256^2 .

It is a super-2 number, since 2×122553305056512² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29557462 + ... + 33447722.

Almost surely, 2^{122553305056512} is an apocalyptic number.

122553305056512 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 122553305056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195915862342746).

122553305056512 is an abundant number, since it is smaller than the sum of its proper divisors (269278419628980).

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

122553305056512 is a wasteful number, since it uses less digits than its factorization.

122553305056512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890418 (or 3890390 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 122553305056512 in words is "one hundred twenty-two trillion, five hundred fifty-three billion, three hundred five million, fifty-six thousand, five hundred twelve".