12265165946880 has 1824 divisors, whose sum is σ = 55427118324480. Its totient is φ = 2544642293760.

The previous prime is 12265165946879. The next prime is 12265165946911. The reversal of 12265165946880 is 8864956156221.

12265165946880 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 5 + 165 + 9 + 468 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19074907839 + ... + 19074908481.

It is an arithmetic number, because the mean of its divisors is an integer number (30387674520).

Almost surely, 2^{12265165946880} is an apocalyptic number.

12265165946880 is a gapful number since it is divisible by the number (10) 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 12265165946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27713559162240).

12265165946880 is an abundant number, since it is smaller than the sum of its proper divisors (43161952377600).

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

12265165946880 is an frugal number, since it uses more digits than its factorization.

12265165946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 12265165946880 in words is "twelve trillion, two hundred sixty-five billion, one hundred sixty-five million, nine hundred forty-six thousand, eight hundred eighty".