12120222133200 has 60 divisors (see below), whose sum is σ = 38825111570528. Its totient is φ = 3232059235200.

The previous prime is 12120222133181. The next prime is 12120222133241. The reversal of 12120222133200 is 233122202121.

12120222133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×12120222133200² (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, 5050091356 + ... + 5050093755.

Almost surely, 2^{12120222133200} is an apocalyptic number.

12120222133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120222133200 is an abundant number, since it is smaller than the sum of its proper divisors (26704889437328).

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

12120222133200 is a wasteful number, since it uses less digits than its factorization.

12120222133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100185132 (or 10100185121 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12120222133200 its reverse (233122202121), we get a palindrome (12353344335321).

The spelling of 12120222133200 in words is "twelve trillion, one hundred twenty billion, two hundred twenty-two million, one hundred thirty-three thousand, two hundred".