12888818712 has 384 divisors, whose sum is σ = 45851097600. Its totient is φ = 3259008000.

The previous prime is 12888818693. The next prime is 12888818731. The reversal of 12888818712 is 21781888821.

It is an interprime number because it is at equal distance from previous prime (12888818693) and next prime (12888818731).

It is a super-3 number, since 3×12888818712³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27958162 + ... + 27958622.

It is an arithmetic number, because the mean of its divisors is an integer number (119403900).

Almost surely, 2^12888818712 is an apocalyptic number.

12888818712 is a gapful number since it is divisible by the number (12) 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 12888818712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22925548800).

12888818712 is an abundant number, since it is smaller than the sum of its proper divisors (32962278888).

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

12888818712 is a wasteful number, since it uses less digits than its factorization.

12888818712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 525 counting only the distinct ones).

The product of its digits is 917504, while the sum is 54.

The spelling of 12888818712 in words is "twelve billion, eight hundred eighty-eight million, eight hundred eighteen thousand, seven hundred twelve".