11122102220112 has 480 divisors, whose sum is σ = 36868580426496. Its totient is φ = 3219711897600.

The previous prime is 11122102220111. The next prime is 11122102220113. The reversal of 11122102220112 is 21102220122111.

11122102220112 is a `hidden beast` number, since 111 + 221 + 0 + 2 + 220 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (11122102220111) and next prime (11122102220113).

It is a super-3 number, since 3×11122102220112³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122102220111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70834812 + ... + 70991652.

Almost surely, 2^{11122102220112} is an apocalyptic number.

11122102220112 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 11122102220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434290213248).

11122102220112 is an abundant number, since it is smaller than the sum of its proper divisors (25746478206384).

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

11122102220112 is a wasteful number, since it uses less digits than its factorization.

11122102220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156961 (or 156943 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11122102220112 its reverse (21102220122111), we get a palindrome (32224322342223).

The spelling of 11122102220112 in words is "eleven trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty thousand, one hundred twelve".