12249404465760 has 2304 divisors, whose sum is σ = 56569522867200. Its totient is φ = 2445056409600.

The previous prime is 12249404465699. The next prime is 12249404465783. The reversal of 12249404465760 is 6756440494221.

12249404465760 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 94 + 0 + 446 + 57 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 12249404465697 and 12249404465706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19109835040 + ... + 19109835680.

It is an arithmetic number, because the mean of its divisors is an integer number (24552744300).

Almost surely, 2^{12249404465760} is an apocalyptic number.

12249404465760 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 12249404465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28284761433600).

12249404465760 is an abundant number, since it is smaller than the sum of its proper divisors (44320118401440).

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

12249404465760 is a wasteful number, since it uses less digits than its factorization.

12249404465760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 12249404465760 in words is "twelve trillion, two hundred forty-nine billion, four hundred four million, four hundred sixty-five thousand, seven hundred sixty".