12002022112301 has 24 divisors (see below), whose sum is σ = 12967493109480. Its totient is φ = 11042677223424.

The previous prime is 12002022112279. The next prime is 12002022112307. The reversal of 12002022112301 is 10321122020021.

12002022112301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6065728636900 + 5936293475401 = 2462870^2 + 2436451^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12002022112301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12002022112301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002022112307) 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, 4397954705 + ... + 4397957433.

It is an arithmetic number, because the mean of its divisors is an integer number (540312212895).

Almost surely, 2^{12002022112301} is an apocalyptic number.

It is an amenable number.

12002022112301 is a deficient number, since it is larger than the sum of its proper divisors (965470997179).

12002022112301 is an frugal number, since it uses more digits than its factorization.

12002022112301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12002022112301 its reverse (10321122020021), we get a palindrome (22323144132322).

The spelling of 12002022112301 in words is "twelve trillion, two billion, twenty-two million, one hundred twelve thousand, three hundred one".