221112121022200 has 144 divisors (see below), whose sum is σ = 542710598986080. Its totient is φ = 83767661982720.

The previous prime is 221112121022147. The next prime is 221112121022321. The reversal of 221112121022200 is 2220121211122.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273450897 + ... + 274258303.

It is an arithmetic number, because the mean of its divisors is an integer number (3768823604070).

Almost surely, 2^{221112121022200} is an apocalyptic number.

221112121022200 is a gapful number since it is divisible by the number (20) 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 221112121022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271355299493040).

221112121022200 is an abundant number, since it is smaller than the sum of its proper divisors (321598477963880).

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

221112121022200 is a wasteful number, since it uses less digits than its factorization.

221112121022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811254 (or 811226 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221112121022200 its reverse (2220121211122), we get a palindrome (223332242233322).

The spelling of 221112121022200 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred twenty-one million, twenty-two thousand, two hundred".