13215225312 has 72 divisors (see below), whose sum is σ = 37694606040. Its totient is φ = 4391735040.

The previous prime is 13215225311. The next prime is 13215225313. The reversal of 13215225312 is 21352251231.

13215225312 is a `hidden beast` number, since 1 + 321 + 5 + 2 + 25 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (13215225311) and next prime (13215225313).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13215225311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26014 + ... + 164642.

It is an arithmetic number, because the mean of its divisors is an integer number (523536195).

Almost surely, 2^13215225312 is an apocalyptic number.

13215225312 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 13215225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847303020).

13215225312 is an abundant number, since it is smaller than the sum of its proper divisors (24479380728).

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

13215225312 is a wasteful number, since it uses less digits than its factorization.

13215225312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138976 (or 138965 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

Adding to 13215225312 its reverse (21352251231), we get a palindrome (34567476543).

It can be divided in two parts, 132152 and 25312, that added together give a cube (157464 = 54³).

The spelling of 13215225312 in words is "thirteen billion, two hundred fifteen million, two hundred twenty-five thousand, three hundred twelve".