12740000 has 180 divisors, whose sum is σ = 39263994. Its totient is φ = 4032000.

The previous prime is 12739973. The next prime is 12740003. The reversal of 12740000 is 4721.

It is a happy number.

12740000 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 5 ways, for example, as 94864 + 12645136 = 308^2 + 3556^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12740003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 979994 + ... + 980006.

Almost surely, 2^12740000 is an apocalyptic number.

12740000 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 12740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19631997).

12740000 is an abundant number, since it is smaller than the sum of its proper divisors (26523994).

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

12740000 is an equidigital number, since it uses as much as digits as its factorization.

12740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 12740000 is about 3569.3136595149. The cubic root of 12740000 is about 233.5553442506. Note that the first 3 decimals are identical.

Adding to 12740000 its reverse (4721), we get a palindrome (12744721).

The spelling of 12740000 in words is "twelve million, seven hundred forty thousand".