11202210211120 has 80 divisors (see below), whose sum is σ = 26515794309120. Its totient is φ = 4400078614272.

The previous prime is 11202210211117. The next prime is 11202210211121. The reversal of 11202210211120 is 2111201220211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11202210211120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11202210211094 and 11202210211103.

It is not an unprimeable number, because it can be changed into a prime (11202210211121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2972689 + ... + 5589391.

It is an arithmetic number, because the mean of its divisors is an integer number (331447428864).

Almost surely, 2^{11202210211120} is an apocalyptic number.

11202210211120 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 11202210211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13257897154560).

11202210211120 is an abundant number, since it is smaller than the sum of its proper divisors (15313584098000).

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

11202210211120 is a wasteful number, since it uses less digits than its factorization.

11202210211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617682 (or 2617676 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11202210211120 its reverse (2111201220211), we get a palindrome (13313411431331).

The spelling of 11202210211120 in words is "eleven trillion, two hundred two billion, two hundred ten million, two hundred eleven thousand, one hundred twenty".