12742600 has 96 divisors (see below), whose sum is σ = 33201000. Its totient is φ = 4542720.

The previous prime is 12742589. The next prime is 12742627. The reversal of 12742600 is 624721.

12742600 is nontrivially palindromic in base 12.

12742600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5484964 + 7257636 = 2342^2 + 2694^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439386 + ... + 439414.

Almost surely, 2^12742600 is an apocalyptic number.

12742600 is a gapful number since it is divisible by the number (10) 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 12742600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16600500).

12742600 is an abundant number, since it is smaller than the sum of its proper divisors (20458400).

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

12742600 is a wasteful number, since it uses less digits than its factorization.

12742600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 12742600 is about 3569.6778566140. The cubic root of 12742600 is about 233.5712312886.

It can be divided in two parts, 1274 and 2600, that multiplied together give a square (3312400 = 1820²).

The spelling of 12742600 in words is "twelve million, seven hundred forty-two thousand, six hundred".