12122001201312 has 48 divisors (see below), whose sum is σ = 35355836839680. Its totient is φ = 4040667066816.

The previous prime is 12122001201311. The next prime is 12122001201341. The reversal of 12122001201312 is 21310210022121.

12122001201312 is a `hidden beast` number, since 1 + 212 + 20 + 0 + 120 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12122001201311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7015046128 + ... + 7015047855.

It is an arithmetic number, because the mean of its divisors is an integer number (736579934160).

Almost surely, 2^{12122001201312} is an apocalyptic number.

12122001201312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122001201312 is an abundant number, since it is smaller than the sum of its proper divisors (23233835638368).

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

12122001201312 is a wasteful number, since it uses less digits than its factorization.

12122001201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14030094002 (or 14030093988 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12122001201312 its reverse (21310210022121), we get a palindrome (33432211223433).

The spelling of 12122001201312 in words is "twelve trillion, one hundred twenty-two billion, one million, two hundred one thousand, three hundred twelve".