12120201312 has 96 divisors (see below), whose sum is σ = 32140652544. Its totient is φ = 3998937600.

The previous prime is 12120201311. The next prime is 12120201329. The reversal of 12120201312 is 21310202121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12120201291 and 12120201300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120201311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6960762 + ... + 6962502.

It is an arithmetic number, because the mean of its divisors is an integer number (334798464).

Almost surely, 2^12120201312 is an apocalyptic number.

12120201312 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 12120201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070326272).

12120201312 is an abundant number, since it is smaller than the sum of its proper divisors (20020451232).

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

12120201312 is a wasteful number, since it uses less digits than its factorization.

12120201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12120201312 its reverse (21310202121), we get a palindrome (33430403433).

The spelling of 12120201312 in words is "twelve billion, one hundred twenty million, two hundred one thousand, three hundred twelve".