12001010211200 has 96 divisors (see below), whose sum is σ = 29700447758760. Its totient is φ = 4791627509760.

The previous prime is 12001010211199. The next prime is 12001010211209. The reversal of 12001010211200 is 211201010021.

12001010211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001010211209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1677677 + ... + 5178476.

Almost surely, 2^{12001010211200} is an apocalyptic number.

12001010211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001010211200 is an abundant number, since it is smaller than the sum of its proper divisors (17699437547560).

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

12001010211200 is an equidigital number, since it uses as much as digits as its factorization.

12001010211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856724 (or 6856707 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12001010211200 its reverse (211201010021), we get a palindrome (12212211221221).

The spelling of 12001010211200 in words is "twelve trillion, one billion, ten million, two hundred eleven thousand, two hundred".