12201330321312 has 144 divisors (see below), whose sum is σ = 35299267043040. Its totient is φ = 3687458987520.

The previous prime is 12201330321307. The next prime is 12201330321317. The reversal of 12201330321312 is 21312303310221.

It is an interprime number because it is at equal distance from previous prime (12201330321307) and next prime (12201330321317).

It is a super-2 number, since 2×12201330321312² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12201330321317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2924739 + ... + 5740797.

It is an arithmetic number, because the mean of its divisors is an integer number (245133798910).

Almost surely, 2^{12201330321312} is an apocalyptic number.

12201330321312 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 12201330321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17649633521520).

12201330321312 is an abundant number, since it is smaller than the sum of its proper divisors (23097936721728).

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

12201330321312 is a wasteful number, since it uses less digits than its factorization.

12201330321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816467 (or 2816448 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12201330321312 its reverse (21312303310221), we get a palindrome (33513633631533).

The spelling of 12201330321312 in words is "twelve trillion, two hundred one billion, three hundred thirty million, three hundred twenty-one thousand, three hundred twelve".