11202222120 has 256 divisors, whose sum is σ = 35392896000. Its totient is φ = 2833698816.

The previous prime is 11202222061. The next prime is 11202222121. The reversal of 11202222120 is 2122220211.

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 11202222120.

It is not an unprimeable number, because it can be changed into a prime (11202222121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38232694 + ... + 38232986.

It is an arithmetic number, because the mean of its divisors is an integer number (138253500).

Almost surely, 2^11202222120 is an apocalyptic number.

11202222120 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 11202222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696448000).

11202222120 is an abundant number, since it is smaller than the sum of its proper divisors (24190673880).

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

11202222120 is a wasteful number, since it uses less digits than its factorization.

11202222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11202222120 its reverse (2122220211), we get a palindrome (13324442331).

The spelling of 11202222120 in words is "eleven billion, two hundred two million, two hundred twenty-two thousand, one hundred twenty".