11201221122112 has 28 divisors (see below), whose sum is σ = 25402769331520. Its totient is φ = 4800523337856.

The previous prime is 11201221122103. The next prime is 11201221122137. The reversal of 11201221122112 is 21122112210211.

It is a happy number.

11201221122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11201221122112.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12501362412 + ... + 12501363307.

It is an arithmetic number, because the mean of its divisors is an integer number (907241761840).

Almost surely, 2^{11201221122112} is an apocalyptic number.

It is an amenable number.

11201221122112 is an abundant number, since it is smaller than the sum of its proper divisors (14201548209408).

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

11201221122112 is an equidigital number, since it uses as much as digits as its factorization.

11201221122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25002725738 (or 25002725728 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 11201221122112 its reverse (21122112210211), we get a palindrome (32323333332323).

The spelling of 11201221122112 in words is "eleven trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".