13005612312 has 128 divisors (see below), whose sum is σ = 40610557440. Its totient is φ = 3371950080.

The previous prime is 13005612307. The next prime is 13005612331. The reversal of 13005612312 is 21321650031.

It is a super-2 number, since 2×13005612312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1060198 + ... + 1072394.

It is an arithmetic number, because the mean of its divisors is an integer number (317269980).

Almost surely, 2^13005612312 is an apocalyptic number.

13005612312 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 13005612312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20305278720).

13005612312 is an abundant number, since it is smaller than the sum of its proper divisors (27604945128).

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

13005612312 is a wasteful number, since it uses less digits than its factorization.

13005612312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12801 (or 12797 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 13005612312 in words is "thirteen billion, five million, six hundred twelve thousand, three hundred twelve".