12712938 has 64 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 3383424.

The previous prime is 12712927. The next prime is 12712939. The reversal of 12712938 is 83921721.

12712938 = 87² + 88² + ... + 338².

It is a junction number, because it is equal to n+sod(n) for n = 12712899 and 12712908.

It is not an unprimeable number, because it can be changed into a prime (12712939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70933 + ... + 71111.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 2^12712938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12712938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

12712938 is an abundant number, since it is smaller than the sum of its proper divisors (18391062).

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

12712938 is a wasteful number, since it uses less digits than its factorization.

12712938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its digits is 6048, while the sum is 33.

The square root of 12712938 is about 3565.5207193340. The cubic root of 12712938 is about 233.3898561480.

The spelling of 12712938 in words is "twelve million, seven hundred twelve thousand, nine hundred thirty-eight".