221233020111000 has 192 divisors, whose sum is σ = 747974455001280. Its totient is φ = 58979152742400.

The previous prime is 221233020110987. The next prime is 221233020111011. The reversal of 221233020111000 is 111020332122.

221233020111000 is a `hidden beast` number, since 2 + 21 + 2 + 330 + 201 + 110 + 0 + 0 = 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 47 ways as a sum of consecutive naturals, for example, 29154957 + ... + 35951043.

It is an arithmetic number, because the mean of its divisors is an integer number (3895700286465).

Almost surely, 2^{221233020111000} is an apocalyptic number.

221233020111000 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 221233020111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373987227500640).

221233020111000 is an abundant number, since it is smaller than the sum of its proper divisors (526741434890280).

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

221233020111000 is a wasteful number, since it uses less digits than its factorization.

221233020111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6799731 (or 6799714 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221233020111000 its reverse (111020332122), we get a palindrome (221344040443122).

The spelling of 221233020111000 in words is "two hundred twenty-one trillion, two hundred thirty-three billion, twenty million, one hundred eleven thousand".