13211221000012 has 96 divisors (see below), whose sum is σ = 28535649408000. Its totient is φ = 5226522292992.

The previous prime is 13211220999979. The next prime is 13211221000049. The reversal of 13211221000012 is 21000012211231.

13211221000012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13211221000012² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13211221000012.

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, 39032418 + ... + 39369430.

It is an arithmetic number, because the mean of its divisors is an integer number (297246348000).

Almost surely, 2^{13211221000012} 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 13211221000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14267824704000).

13211221000012 is an abundant number, since it is smaller than the sum of its proper divisors (15324428407988).

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

13211221000012 is a wasteful number, since it uses less digits than its factorization.

13211221000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339175 (or 339173 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13211221000012 its reverse (21000012211231), we get a palindrome (34211233211243).

The spelling of 13211221000012 in words is "thirteen trillion, two hundred eleven billion, two hundred twenty-one million, twelve", and thus it is an aban number.