12777372384 has 48 divisors (see below), whose sum is σ = 38332119168. Its totient is φ = 3650677632.

The previous prime is 12777372383. The next prime is 12777372403. The reversal of 12777372384 is 48327377721.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×12777372384² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12777372383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9506302 + ... + 9507645.

It is an arithmetic number, because the mean of its divisors is an integer number (798585816).

Almost surely, 2^12777372384 is an apocalyptic number.

12777372384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12777372384 is an abundant number, since it is smaller than the sum of its proper divisors (25554746784).

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

12777372384 is a wasteful number, since it uses less digits than its factorization.

12777372384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19013967 (or 19013959 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 51.

The spelling of 12777372384 in words is "twelve billion, seven hundred seventy-seven million, three hundred seventy-two thousand, three hundred eighty-four".