11200221221112 has 384 divisors, whose sum is σ = 38602811520000. Its totient is φ = 2908238780160.

The previous prime is 11200221221099. The next prime is 11200221221159. The reversal of 11200221221112 is 21112212200211.

11200221221112 is a `hidden beast` number, since 11 + 200 + 221 + 221 + 1 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1597062118 + ... + 1597069130.

It is an arithmetic number, because the mean of its divisors is an integer number (100528155000).

Almost surely, 2^{11200221221112} is an apocalyptic number.

11200221221112 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 11200221221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19301405760000).

11200221221112 is an abundant number, since it is smaller than the sum of its proper divisors (27402590298888).

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

11200221221112 is a wasteful number, since it uses less digits than its factorization.

11200221221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12936 (or 12915 counting only the distinct ones).

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

Adding to 11200221221112 its reverse (21112212200211), we get a palindrome (32312433421323).

The spelling of 11200221221112 in words is "eleven trillion, two hundred billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twelve".