11220012121200 has 120 divisors (see below), whose sum is σ = 35950096665600. Its totient is φ = 2991282497280.

The previous prime is 11220012121163. The next prime is 11220012121243. The reversal of 11220012121200 is 212121002211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11220012121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3866731 + ... + 6114869.

It is an arithmetic number, because the mean of its divisors is an integer number (299584138880).

Almost surely, 2^{11220012121200} is an apocalyptic number.

11220012121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220012121200 is an abundant number, since it is smaller than the sum of its proper divisors (24730084544400).

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

11220012121200 is a wasteful number, since it uses less digits than its factorization.

11220012121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252319 (or 2252308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11220012121200 its reverse (212121002211), we get a palindrome (11432133123411).

The spelling of 11220012121200 in words is "eleven trillion, two hundred twenty billion, twelve million, one hundred twenty-one thousand, two hundred".