221022021220000 has 1920 divisors, whose sum is σ = 757470325506048. Its totient is φ = 61225113600000.

The previous prime is 221022021219991. The next prime is 221022021220009. The reversal of 221022021220000 is 22120220122.

It is an interprime number because it is at equal distance from previous prime (221022021219991) and next prime (221022021220009).

It is a super-3 number, since 3×221022021220000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (221022021220009) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 138398259202 + ... + 138398260798.

Almost surely, 2^{221022021220000} is an apocalyptic number.

221022021220000 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 221022021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378735162753024).

221022021220000 is an abundant number, since it is smaller than the sum of its proper divisors (536448304286048).

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

221022021220000 is a wasteful number, since it uses less digits than its factorization.

221022021220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221022021220000 its reverse (22120220122), we get a palindrome (221044141440122).

The spelling of 221022021220000 in words is "two hundred twenty-one trillion, twenty-two billion, twenty-one million, two hundred twenty thousand".