12681792 has 112 divisors (see below), whose sum is σ = 38404800. Its totient is φ = 4101120.

The previous prime is 12681769. The next prime is 12681793. The reversal of 12681792 is 29718621.

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

It is not an unprimeable number, because it can be changed into a prime (12681793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70759 + ... + 70937.

It is an arithmetic number, because the mean of its divisors is an integer number (342900).

Almost surely, 2^12681792 is an apocalyptic number.

12681792 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 12681792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19202400).

12681792 is an abundant number, since it is smaller than the sum of its proper divisors (25723008).

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

12681792 is a wasteful number, since it uses less digits than its factorization.

12681792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12681792 is about 3561.1503759319. The cubic root of 12681792 is about 233.1991028409.

It can be divided in two parts, 126 and 81792, that added together give a palindrome (81918).

The spelling of 12681792 in words is "twelve million, six hundred eighty-one thousand, seven hundred ninety-two".