12688142772 has 96 divisors (see below), whose sum is σ = 31620628480. Its totient is φ = 3948497280.

The previous prime is 12688142767. The next prime is 12688142833. The reversal of 12688142772 is 27724188621.

12688142772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 4544697 + ... + 4547487.

Almost surely, 2^12688142772 is an apocalyptic number.

12688142772 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 12688142772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810314240).

12688142772 is an abundant number, since it is smaller than the sum of its proper divisors (18932485708).

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

12688142772 is a wasteful number, since it uses less digits than its factorization.

12688142772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3099 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

It can be divided in two parts, 126881 and 42772, that added together give a triangular number (169653 = T₅₈₂).

The spelling of 12688142772 in words is "twelve billion, six hundred eighty-eight million, one hundred forty-two thousand, seven hundred seventy-two".