12212313202000 has 80 divisors (see below), whose sum is σ = 29593991233872. Its totient is φ = 4874235801600.

The previous prime is 12212313201973. The next prime is 12212313202009. The reversal of 12212313202000 is 20231321221.

12212313202000 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 8 ways, for example, as 6054788579904 + 6157524622096 = 2460648^2 + 2481436^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212313202009) 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, 5766697 + ... + 7594696.

Almost surely, 2^{12212313202000} is an apocalyptic number.

12212313202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212313202000 is an abundant number, since it is smaller than the sum of its proper divisors (17381678031872).

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

12212313202000 is a wasteful number, since it uses less digits than its factorization.

12212313202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13361873 (or 13361857 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12212313202000 its reverse (20231321221), we get a palindrome (12232544523221).

The spelling of 12212313202000 in words is "twelve trillion, two hundred twelve billion, three hundred thirteen million, two hundred two thousand".