12412677312 has 84 divisors (see below), whose sum is σ = 40661382736. Its totient is φ = 3546478080.

The previous prime is 12412677287. The next prime is 12412677317. The reversal of 12412677312 is 21377621421.

12412677312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×12412677312³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (12412677317) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1535239 + ... + 1543302.

Almost surely, 2^12412677312 is an apocalyptic number.

12412677312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12412677312 is an abundant number, since it is smaller than the sum of its proper divisors (28248705424).

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

12412677312 is a wasteful number, since it uses less digits than its factorization.

12412677312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078566 (or 3078553 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The spelling of 12412677312 in words is "twelve billion, four hundred twelve million, six hundred seventy-seven thousand, three hundred twelve".