13122312 has 64 divisors (see below), whose sum is σ = 39475200. Its totient is φ = 3551040.

The previous prime is 13122299. The next prime is 13122313. The reversal of 13122312 is 21322131.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13122291 and 13122300.

It is not an unprimeable number, because it can be changed into a prime (13122313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137 + ... + 5247.

It is an arithmetic number, because the mean of its divisors is an integer number (616800).

Almost surely, 2^13122312 is an apocalyptic number.

13122312 is a gapful number since it is divisible by the number (12) 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 13122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19737600).

13122312 is an abundant number, since it is smaller than the sum of its proper divisors (26352888).

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

13122312 is a wasteful number, since it uses less digits than its factorization.

13122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4142 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 13122312 is about 3622.4731883066. The cubic root of 13122312 is about 235.8685948543.

Adding to 13122312 its reverse (21322131), we get a palindrome (34444443).

The spelling of 13122312 in words is "thirteen million, one hundred twenty-two thousand, three hundred twelve".