12102120200000 has 84 divisors (see below), whose sum is σ = 30017010249324. Its totient is φ = 4840848000000.

The previous prime is 12102120199999. The next prime is 12102120200011. The reversal of 12102120200000 is 202120121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11297611660864 + 804508539136 = 3361192^2 + 896944^2 .

It is a super-2 number, since 2×12102120200000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30055301 + ... + 30455300.

It is an arithmetic number, because the mean of its divisors is an integer number (357345360111).

Almost surely, 2^{12102120200000} is an apocalyptic number.

12102120200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102120200000 is an abundant number, since it is smaller than the sum of its proper divisors (17914890049324).

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

12102120200000 is an frugal number, since it uses more digits than its factorization.

12102120200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60510638 (or 60510608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12102120200000 its reverse (202120121), we get a palindrome (12102322320121).

The spelling of 12102120200000 in words is "twelve trillion, one hundred two billion, one hundred twenty million, two hundred thousand".