12465405912960 has 6144 divisors, whose sum is σ = 64587530649600. Its totient is φ = 2257403904000.

The previous prime is 12465405912931. The next prime is 12465405912997. The reversal of 12465405912960 is 6921950456421.

It is a happy number.

12465405912960 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 5 + 40 + 591 + 2 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12465405912897 and 12465405912906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 304034290540 + ... + 304034290580.

It is an arithmetic number, because the mean of its divisors is an integer number (10512293400).

Almost surely, 2^{12465405912960} is an apocalyptic number.

12465405912960 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 12465405912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32293765324800).

12465405912960 is an abundant number, since it is smaller than the sum of its proper divisors (52122124736640).

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

12465405912960 is a wasteful number, since it uses less digits than its factorization.

12465405912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 12465405912960 in words is "twelve trillion, four hundred sixty-five billion, four hundred five million, nine hundred twelve thousand, nine hundred sixty".