12455311205160 has 192 divisors, whose sum is σ = 41538509812800. Its totient is φ = 3234982367232.

The previous prime is 12455311205137. The next prime is 12455311205179. The reversal of 12455311205160 is 6150211355421.

12455311205160 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 531 + 12 + 0 + 51 + 60 = 666.

It is a super-2 number, since 2×12455311205160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4324771 + ... + 6604109.

It is an arithmetic number, because the mean of its divisors is an integer number (216346405275).

Almost surely, 2^{12455311205160} is an apocalyptic number.

12455311205160 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 12455311205160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20769254906400).

12455311205160 is an abundant number, since it is smaller than the sum of its proper divisors (29083198607640).

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

12455311205160 is a wasteful number, since it uses less digits than its factorization.

12455311205160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279752 (or 2279745 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 12455311205160 in words is "twelve trillion, four hundred fifty-five billion, three hundred eleven million, two hundred five thousand, one hundred sixty".