11201200221112 has 64 divisors (see below), whose sum is σ = 23132153975040. Its totient is φ = 5042457312000.

The previous prime is 11201200221091. The next prime is 11201200221161. The reversal of 11201200221112 is 21112200210211.

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, 33798612 + ... + 34128412.

It is an arithmetic number, because the mean of its divisors is an integer number (361439905860).

Almost surely, 2^{11201200221112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201200221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566076987520).

11201200221112 is an abundant number, since it is smaller than the sum of its proper divisors (11930953753928).

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

11201200221112 is a wasteful number, since it uses less digits than its factorization.

11201200221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333532 (or 333528 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11201200221112 its reverse (21112200210211), we get a palindrome (32313400431323).

The spelling of 11201200221112 in words is "eleven trillion, two hundred one billion, two hundred million, two hundred twenty-one thousand, one hundred twelve".