12851100812088 has 1280 divisors, whose sum is σ = 48333432960000. Its totient is φ = 3162266775360.

The previous prime is 12851100812003. The next prime is 12851100812101. The reversal of 12851100812088 is 88021800115821.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12851100812088 is a `hidden beast` number, since 1 + 2 + 8 + 511 + 0 + 0 + 8 + 120 + 8 + 8 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 12851100812088 = 2926³ + 23408³ = 13167³ + 21945³.

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 319 ways as a sum of consecutive naturals, for example, 676373726943 + ... + 676373726961.

It is an arithmetic number, because the mean of its divisors is an integer number (37760494500).

Almost surely, 2^{12851100812088} is an apocalyptic number.

12851100812088 is a gapful number since it is divisible by the number (18) 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 12851100812088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24166716480000).

12851100812088 is an abundant number, since it is smaller than the sum of its proper divisors (35482332147912).

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

12851100812088 is an frugal number, since it uses more digits than its factorization.

12851100812088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 45.

The spelling of 12851100812088 in words is "twelve trillion, eight hundred fifty-one billion, one hundred million, eight hundred twelve thousand, eighty-eight".