12185264557440 has 1024 divisors, whose sum is σ = 48086960947200. Its totient is φ = 2895926722560.

The previous prime is 12185264557423. The next prime is 12185264557481. The reversal of 12185264557440 is 4475546258121.

12185264557440 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 5 + 2 + 64 + 5 + 574 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3391388284 + ... + 3391391876.

It is an arithmetic number, because the mean of its divisors is an integer number (46959922800).

Almost surely, 2^{12185264557440} is an apocalyptic number.

12185264557440 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 12185264557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24043480473600).

12185264557440 is an abundant number, since it is smaller than the sum of its proper divisors (35901696389760).

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

12185264557440 is a wasteful number, since it uses less digits than its factorization.

12185264557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 12185264557440 in words is "twelve trillion, one hundred eighty-five billion, two hundred sixty-four million, five hundred fifty-seven thousand, four hundred forty".