12102120202000 has 80 divisors (see below), whose sum is σ = 29265094293552. Its totient is φ = 4840489497600.

The previous prime is 12102120201989. The next prime is 12102120202001. The reversal of 12102120202000 is 20202120121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 264446891536 + 11837673310464 = 514244^2 + 3440592^2 .

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

It is a super-2 number, since 2×12102120202000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12102120202001) 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, 27648852 + ... + 28083148.

Almost surely, 2^{12102120202000} is an apocalyptic number.

12102120202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102120202000 is an abundant number, since it is smaller than the sum of its proper divisors (17162974091552).

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

12102120202000 is a wasteful number, since it uses less digits than its factorization.

12102120202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448253 (or 448237 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12102120202000 its reverse (20202120121), we get a palindrome (12122322322121).

The spelling of 12102120202000 in words is "twelve trillion, one hundred two billion, one hundred twenty million, two hundred two thousand".