12861182423520 has 2304 divisors, whose sum is σ = 52853820364800. Its totient is φ = 2932475166720.

The previous prime is 12861182423491. The next prime is 12861182423561. The reversal of 12861182423520 is 2532428116821.

12861182423520 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 1 + 1 + 82 + 42 + 3 + 520 = 666.

It is a super-3 number, since 3×12861182423520³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 41354284165 + ... + 41354284475.

It is an arithmetic number, because the mean of its divisors is an integer number (22940026200).

Almost surely, 2^{12861182423520} is an apocalyptic number.

12861182423520 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 12861182423520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26426910182400).

12861182423520 is an abundant number, since it is smaller than the sum of its proper divisors (39992637941280).

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

12861182423520 is a wasteful number, since it uses less digits than its factorization.

12861182423520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12861182423520 in words is "twelve trillion, eight hundred sixty-one billion, one hundred eighty-two million, four hundred twenty-three thousand, five hundred twenty".