11202211000120 has 256 divisors, whose sum is σ = 29391784519680. Its totient is φ = 3763346227200.

The previous prime is 11202211000109. The next prime is 11202211000121. The reversal of 11202211000120 is 2100011220211.

It is a self number, because there is not a number n which added to its sum of digits gives 11202211000120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202211000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2697375964 + ... + 2697380116.

It is an arithmetic number, because the mean of its divisors is an integer number (114811658280).

Almost surely, 2^{11202211000120} is an apocalyptic number.

11202211000120 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 11202211000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14695892259840).

11202211000120 is an abundant number, since it is smaller than the sum of its proper divisors (18189573519560).

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

11202211000120 is a wasteful number, since it uses less digits than its factorization.

11202211000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11202211000120 its reverse (2100011220211), we get a palindrome (13302222220331).

The spelling of 11202211000120 in words is "eleven trillion, two hundred two billion, two hundred eleven million, one hundred twenty", and thus it is an aban number.