12727106832 has 320 divisors, whose sum is σ = 38811801600. Its totient is φ = 3553320960.

The previous prime is 12727106807. The next prime is 12727106869. The reversal of 12727106832 is 23860172721.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112629208 + ... + 112629320.

It is an arithmetic number, because the mean of its divisors is an integer number (121286880).

Almost surely, 2^12727106832 is an apocalyptic number.

12727106832 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 12727106832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19405900800).

12727106832 is an abundant number, since it is smaller than the sum of its proper divisors (26084694768).

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

12727106832 is a wasteful number, since it uses less digits than its factorization.

12727106832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 12727106832 in words is "twelve billion, seven hundred twenty-seven million, one hundred six thousand, eight hundred thirty-two".