12001010221200 has 1440 divisors, whose sum is σ = 53304958835712. Its totient is φ = 2239570944000.

The previous prime is 12001010221171. The next prime is 12001010221261. The reversal of 12001010221200 is 212201010021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 577766815 + ... + 577787585.

Almost surely, 2^{12001010221200} is an apocalyptic number.

12001010221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001010221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26652479417856).

12001010221200 is an abundant number, since it is smaller than the sum of its proper divisors (41303948614512).

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

12001010221200 is a wasteful number, since it uses less digits than its factorization.

12001010221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20873 (or 20849 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12001010221200 its reverse (212201010021), we get a palindrome (12213211231221).

The spelling of 12001010221200 in words is "twelve trillion, one billion, ten million, two hundred twenty-one thousand, two hundred".