12265200306456 has 128 divisors (see below), whose sum is σ = 33160531783680. Its totient is φ = 3765689901056.

The previous prime is 12265200306449. The next prime is 12265200306493. The reversal of 12265200306456 is 65460300256221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277013536 + ... + 277057808.

It is an arithmetic number, because the mean of its divisors is an integer number (259066654560).

Almost surely, 2^{12265200306456} 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 12265200306456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16580265891840).

12265200306456 is an abundant number, since it is smaller than the sum of its proper divisors (20895331477224).

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

12265200306456 is a wasteful number, since it uses less digits than its factorization.

12265200306456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58793 (or 58789 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 12265200306456 in words is "twelve trillion, two hundred sixty-five billion, two hundred million, three hundred six thousand, four hundred fifty-six".