12001222011200 has 42 divisors (see below), whose sum is σ = 29530506915246. Its totient is φ = 4800488803840.

The previous prime is 12001222011199. The next prime is 12001222011223. The reversal of 12001222011200 is 211022210021.

It can be written as a sum of positive squares in 3 ways, for example, as 53857413184 + 11947364598016 = 232072^2 + 3456496^2 .

It is a super-3 number, since 3×12001222011200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3750380279 + ... + 3750383478.

Almost surely, 2^{12001222011200} is an apocalyptic number.

12001222011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001222011200 is an abundant number, since it is smaller than the sum of its proper divisors (17529284904046).

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

12001222011200 is an equidigital number, since it uses as much as digits as its factorization.

12001222011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7500763779 (or 7500763764 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12001222011200 its reverse (211022210021), we get a palindrome (12212244221221).

The spelling of 12001222011200 in words is "twelve trillion, one billion, two hundred twenty-two million, eleven thousand, two hundred".