12265199712 has 384 divisors, whose sum is σ = 39278131200. Its totient is φ = 3708592128.

The previous prime is 12265199701. The next prime is 12265199731. The reversal of 12265199712 is 21799156221.

12265199712 is a `hidden beast` number, since 12 + 26 + 519 + 97 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75246543 + ... + 75246705.

It is an arithmetic number, because the mean of its divisors is an integer number (102286800).

Almost surely, 2^12265199712 is an apocalyptic number.

12265199712 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 12265199712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19639065600).

12265199712 is an abundant number, since it is smaller than the sum of its proper divisors (27012931488).

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

12265199712 is a wasteful number, since it uses less digits than its factorization.

12265199712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The spelling of 12265199712 in words is "twelve billion, two hundred sixty-five million, one hundred ninety-nine thousand, seven hundred twelve".