11221120211112 has 256 divisors, whose sum is σ = 36892143360000. Its totient is φ = 3158181690048.

The previous prime is 11221120211003. The next prime is 11221120211261. The reversal of 11221120211112 is 21111202112211.

It is a happy number.

11221120211112 is a `hidden beast` number, since 1 + 1 + 221 + 120 + 211 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3833623 + ... + 6094169.

It is an arithmetic number, because the mean of its divisors is an integer number (144109935000).

Almost surely, 2^{11221120211112} is an apocalyptic number.

11221120211112 is a gapful number since it is divisible by the number (12) 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 11221120211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446071680000).

11221120211112 is an abundant number, since it is smaller than the sum of its proper divisors (25671023148888).

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

11221120211112 is a wasteful number, since it uses less digits than its factorization.

11221120211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260650 (or 2260626 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11221120211112 its reverse (21111202112211), we get a palindrome (32332322323323).

The spelling of 11221120211112 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty million, two hundred eleven thousand, one hundred twelve".