12407509321 has 27 divisors (see below), whose sum is σ = 13514018791. Its totient is φ = 11390193584.

The previous prime is 12407509291. The next prime is 12407509337. The reversal of 12407509321 is 12390570421.

It is a happy number.

The square root of 12407509321 is 111389.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6506196921 + 5901312400 = 80661^2 + 76820^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12407509321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12407509351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74296380 + ... + 74296546.

Almost surely, 2^12407509321 is an apocalyptic number.

12407509321 is the 111389-th square number.

12407509321 is the 55695-th centered octagonal number.

It is an amenable number.

12407509321 is a deficient number, since it is larger than the sum of its proper divisors (1106509470).

12407509321 is an frugal number, since it uses more digits than its factorization.

12407509321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 12407509321 in words is "twelve billion, four hundred seven million, five hundred nine thousand, three hundred twenty-one".