13212316512 has 288 divisors, whose sum is σ = 41118658560. Its totient is φ = 4119540480.

The previous prime is 13212316511. The next prime is 13212316549. The reversal of 13212316512 is 21561321231.

13212316512 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 3 + 1 + 651 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13212316512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212316511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69174337 + ... + 69174527.

It is an arithmetic number, because the mean of its divisors is an integer number (142773120).

Almost surely, 2^13212316512 is an apocalyptic number.

13212316512 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 13212316512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20559329280).

13212316512 is an abundant number, since it is smaller than the sum of its proper divisors (27906342048).

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

13212316512 is a wasteful number, since it uses less digits than its factorization.

13212316512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 278 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 13212316512 its reverse (21561321231), we get a palindrome (34773637743).

The spelling of 13212316512 in words is "thirteen billion, two hundred twelve million, three hundred sixteen thousand, five hundred twelve".