11222112102012 has 576 divisors, whose sum is σ = 35874131005440. Its totient is φ = 2999638656000.

The previous prime is 11222112102011. The next prime is 11222112102037. The reversal of 11222112102012 is 21020121122211.

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 (11222112102011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 936653062 + ... + 936665042.

It is an arithmetic number, because the mean of its divisors is an integer number (62281477440).

Almost surely, 2^{11222112102012} is an apocalyptic number.

11222112102012 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 11222112102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17937065502720).

11222112102012 is an abundant number, since it is smaller than the sum of its proper divisors (24652018903428).

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

11222112102012 is a wasteful number, since it uses less digits than its factorization.

11222112102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12184 (or 12170 counting only the distinct ones).

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

Adding to 11222112102012 its reverse (21020121122211), we get a palindrome (32242233224223).

It can be divided in two parts, 1122211 and 2102012, that added together give a palindrome (3224223).

The spelling of 11222112102012 in words is "eleven trillion, two hundred twenty-two billion, one hundred twelve million, one hundred two thousand, twelve".