221200111132 has 144 divisors (see below), whose sum is σ = 531503580160. Its totient is φ = 78364091520.

The previous prime is 221200111079. The next prime is 221200111141. The reversal of 221200111132 is 231111002122.

221200111132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2913469 + ... + 2988427.

Almost surely, 2^221200111132 is an apocalyptic number.

221200111132 is a gapful number since it is divisible by the number (22) 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 221200111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265751790080).

221200111132 is an abundant number, since it is smaller than the sum of its proper divisors (310303469028).

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

221200111132 is a wasteful number, since it uses less digits than its factorization.

221200111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75072 (or 75059 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 221200111132 its reverse (231111002122), we get a palindrome (452311113254).

The spelling of 221200111132 in words is "two hundred twenty-one billion, two hundred million, one hundred eleven thousand, one hundred thirty-two".