12701312 has 64 divisors (see below), whose sum is σ = 28917000. Its totient is φ = 5505024.

The previous prime is 12701287. The next prime is 12701317. The reversal of 12701312 is 21310721.

It can be written as a sum of positive squares in 4 ways, for example, as 10916416 + 1784896 = 3304^2 + 1336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12701312² = 322646653042688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (12701317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28064 + ... + 28512.

Almost surely, 2^12701312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14458500).

12701312 is an abundant number, since it is smaller than the sum of its proper divisors (16215688).

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

12701312 is a wasteful number, since it uses less digits than its factorization.

12701312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 12701312 is about 3563.8900095261. The cubic root of 12701312 is about 233.3186893304.

The spelling of 12701312 in words is "twelve million, seven hundred one thousand, three hundred twelve".