12731400 has 144 divisors (see below), whose sum is σ = 46715760. Its totient is φ = 3081600.

The previous prime is 12731399. The next prime is 12731401. The reversal of 12731400 is 413721.

It is an interprime number because it is at equal distance from previous prime (12731399) and next prime (12731401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12731401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19479 + ... + 20121.

It is an arithmetic number, because the mean of its divisors is an integer number (324415).

Almost surely, 2^12731400 is an apocalyptic number.

12731400 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 12731400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23357880).

12731400 is an abundant number, since it is smaller than the sum of its proper divisors (33984360).

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

12731400 is a wasteful number, since it uses less digits than its factorization.

12731400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12731400 is about 3568.1087427375. The cubic root of 12731400 is about 233.5027794132.

It can be divided in two parts, 12731 and 400, that added together give a palindrome (13131).

The spelling of 12731400 in words is "twelve million, seven hundred thirty-one thousand, four hundred".