12586883232 has 576 divisors, whose sum is σ = 45608572800. Its totient is φ = 2993356800.

The previous prime is 12586883213. The next prime is 12586883291. The reversal of 12586883232 is 23238868521.

12586883232 = T₁₆₈ + T₁₆₉ + ... + T₄₂₂₆.

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 95 ways as a sum of consecutive naturals, for example, 36065394 + ... + 36065742.

It is an arithmetic number, because the mean of its divisors is an integer number (79181550).

Almost surely, 2^12586883232 is an apocalyptic number.

12586883232 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 12586883232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22804286400).

12586883232 is an abundant number, since it is smaller than the sum of its proper divisors (33021689568).

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

12586883232 is a wasteful number, since it uses less digits than its factorization.

12586883232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The spelling of 12586883232 in words is "twelve billion, five hundred eighty-six million, eight hundred eighty-three thousand, two hundred thirty-two".