12225896901504 has 2304 divisors, whose sum is σ = 46669539571200. Its totient is φ = 3148381716480.

The previous prime is 12225896901443. The next prime is 12225896901607. The reversal of 12225896901504 is 40510969852221.

12225896901504 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 589 + 6 + 9 + 0 + 1 + 50 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38567497954 + ... + 38567498270.

It is an arithmetic number, because the mean of its divisors is an integer number (20255876550).

Almost surely, 2^{12225896901504} 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 12225896901504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23334769785600).

12225896901504 is an abundant number, since it is smaller than the sum of its proper divisors (34443642669696).

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

12225896901504 is a wasteful number, since it uses less digits than its factorization.

12225896901504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 12225896901504 in words is "twelve trillion, two hundred twenty-five billion, eight hundred ninety-six million, nine hundred one thousand, five hundred four".