12225968923584 has 672 divisors, whose sum is σ = 37183773150720. Its totient is φ = 3519959998464.

The previous prime is 12225968923577. The next prime is 12225968923601. The reversal of 12225968923584 is 48532986952221.

It is a super-2 number, since 2×12225968923584² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22350948399 + ... + 22350948945.

It is an arithmetic number, because the mean of its divisors is an integer number (55332995760).

Almost surely, 2^{12225968923584} 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 12225968923584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18591886575360).

12225968923584 is an abundant number, since it is smaller than the sum of its proper divisors (24957804227136).

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

12225968923584 is a wasteful number, since it uses less digits than its factorization.

12225968923584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 804 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 66.

The spelling of 12225968923584 in words is "twelve trillion, two hundred twenty-five billion, nine hundred sixty-eight million, nine hundred twenty-three thousand, five hundred eighty-four".