11221211120 has 80 divisors (see below), whose sum is σ = 29839756800. Its totient is φ = 3844253952.

The previous prime is 11221211107. The next prime is 11221211137. The reversal of 11221211120 is 2111212211.

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

It is a super-2 number, since 2×11221211120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11221211095 and 11221211104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 776279 + ... + 790601.

It is an arithmetic number, because the mean of its divisors is an integer number (372996960).

Almost surely, 2^11221211120 is an apocalyptic number.

11221211120 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 11221211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14919878400).

11221211120 is an abundant number, since it is smaller than the sum of its proper divisors (18618545680).

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

11221211120 is a wasteful number, since it uses less digits than its factorization.

11221211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15742 (or 15736 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11221211120 its reverse (2111212211), we get a palindrome (13332423331).

The spelling of 11221211120 in words is "eleven billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".