12889761312 has 192 divisors, whose sum is σ = 36343157760. Its totient is φ = 3991142400.

The previous prime is 12889761293. The next prime is 12889761347. The reversal of 12889761312 is 21316798821.

It is a super-2 number, since 2×12889761312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20108512 + ... + 20109152.

It is an arithmetic number, because the mean of its divisors is an integer number (189287280).

Almost surely, 2^12889761312 is an apocalyptic number.

12889761312 is a gapful number since it is divisible by the number (12) 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 12889761312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18171578880).

12889761312 is an abundant number, since it is smaller than the sum of its proper divisors (23453396448).

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

12889761312 is a wasteful number, since it uses less digits than its factorization.

12889761312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The spelling of 12889761312 in words is "twelve billion, eight hundred eighty-nine million, seven hundred sixty-one thousand, three hundred twelve".