12077738344 has 96 divisors (see below), whose sum is σ = 27917152200. Its totient is φ = 4875601920.

The previous prime is 12077738287. The next prime is 12077738347. The reversal of 12077738344 is 44383777021.

It can be written as a sum of positive squares in 4 ways, for example, as 8166736900 + 3911001444 = 90370^2 + 62538^2 .

It is a super-2 number, since 2×12077738344² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12077738294 and 12077738303.

It is not an unprimeable number, because it can be changed into a prime (12077738347) 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 23 ways as a sum of consecutive naturals, for example, 453132 + ... + 479044.

Almost surely, 2^12077738344 is an apocalyptic number.

12077738344 is a gapful number since it is divisible by the number (14) 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 12077738344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13958576100).

12077738344 is an abundant number, since it is smaller than the sum of its proper divisors (15839413856).

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

12077738344 is a wasteful number, since it uses less digits than its factorization.

12077738344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26003 (or 25992 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 46.

The spelling of 12077738344 in words is "twelve billion, seventy-seven million, seven hundred thirty-eight thousand, three hundred forty-four".