12761172816 has 120 divisors (see below), whose sum is σ = 38931383232. Its totient is φ = 3528345600.

The previous prime is 12761172773. The next prime is 12761172821. The reversal of 12761172816 is 61827116721.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303136 + ... + 342656.

Almost surely, 2^12761172816 is an apocalyptic number.

12761172816 is a gapful number since it is divisible by the number (16) 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 12761172816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19465691616).

12761172816 is an abundant number, since it is smaller than the sum of its proper divisors (26170210416).

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

12761172816 is a wasteful number, since it uses less digits than its factorization.

12761172816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39601 (or 39564 counting only the distinct ones).

The product of its digits is 56448, while the sum is 42.

The spelling of 12761172816 in words is "twelve billion, seven hundred sixty-one million, one hundred seventy-two thousand, eight hundred sixteen".