12772769120 has 96 divisors (see below), whose sum is σ = 32388890688. Its totient is φ = 4742627328.

The previous prime is 12772769117. The next prime is 12772769123. The reversal of 12772769120 is 2196727721.

It is an interprime number because it is at equal distance from previous prime (12772769117) and next prime (12772769123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12772769123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166397 + ... + 230723.

It is an arithmetic number, because the mean of its divisors is an integer number (337384278).

Almost surely, 2^12772769120 is an apocalyptic number.

12772769120 is a gapful number since it is divisible by the number (10) 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 12772769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16194445344).

12772769120 is an abundant number, since it is smaller than the sum of its proper divisors (19616121568).

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

12772769120 is a wasteful number, since it uses less digits than its factorization.

12772769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64432 (or 64424 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 44.

The spelling of 12772769120 in words is "twelve billion, seven hundred seventy-two million, seven hundred sixty-nine thousand, one hundred twenty".