12988521035028 has 144 divisors (see below), whose sum is σ = 40937347092096. Its totient is φ = 3373326478080.

The previous prime is 12988521034991. The next prime is 12988521035029. The reversal of 12988521035028 is 82053012588921.

12988521035028 is a `hidden beast` number, since 1 + 2 + 9 + 88 + 52 + 1 + 0 + 3 + 502 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12988521035029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30203650 + ... + 30630662.

It is an arithmetic number, because the mean of its divisors is an integer number (284287132584).

Almost surely, 2^{12988521035028} is an apocalyptic number.

12988521035028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12988521035028 is an abundant number, since it is smaller than the sum of its proper divisors (27948826057068).

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

12988521035028 is a wasteful number, since it uses less digits than its factorization.

12988521035028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438014 (or 438009 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

It can be divided in two parts, 1298852 and 1035028, that added together give a triangular number (2333880 = T₂₁₆₀).

The spelling of 12988521035028 in words is "twelve trillion, nine hundred eighty-eight billion, five hundred twenty-one million, thirty-five thousand, twenty-eight".