12011000221200 has 480 divisors, whose sum is σ = 40112750119680. Its totient is φ = 3069326131200.

The previous prime is 12011000221193. The next prime is 12011000221217. The reversal of 12011000221200 is 212200011021.

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 95 ways as a sum of consecutive naturals, for example, 5954882592 + ... + 5954884608.

It is an arithmetic number, because the mean of its divisors is an integer number (83568229416).

Almost surely, 2^{12011000221200} is an apocalyptic number.

12011000221200 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 12011000221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20056375059840).

12011000221200 is an abundant number, since it is smaller than the sum of its proper divisors (28101749898480).

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

12011000221200 is a wasteful number, since it uses less digits than its factorization.

12011000221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4024 counting only the distinct ones).

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

Adding to 12011000221200 its reverse (212200011021), we get a palindrome (12223200232221).

The spelling of 12011000221200 in words is "twelve trillion, eleven billion, two hundred twenty-one thousand, two hundred".