221331211000 has 128 divisors (see below), whose sum is σ = 556107327360. Its totient is φ = 82150656000.

The previous prime is 221331210953. The next prime is 221331211009. The reversal of 221331211000 is 112133122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221331211009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1115314 + ... + 1298686.

It is an arithmetic number, because the mean of its divisors is an integer number (4344588495).

Almost surely, 2^221331211000 is an apocalyptic number.

221331211000 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 221331211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278053663680).

221331211000 is an abundant number, since it is smaller than the sum of its proper divisors (334776116360).

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

221331211000 is a wasteful number, since it uses less digits than its factorization.

221331211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183482 (or 183468 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 221331211000 its reverse (112133122), we get a palindrome (221443344122).

The spelling of 221331211000 in words is "two hundred twenty-one billion, three hundred thirty-one million, two hundred eleven thousand".