221200202012020 has 576 divisors, whose sum is σ = 598756790016000. Its totient is φ = 68068695744000.

The previous prime is 221200202011979. The next prime is 221200202012029. The reversal of 221200202012020 is 20210202002122.

It is a super-3 number, since 3×221200202012020³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221200202011985 and 221200202012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221200202012029) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186352317867 + ... + 186352319053.

It is an arithmetic number, because the mean of its divisors is an integer number (1039508316000).

Almost surely, 2^{221200202012020} is an apocalyptic number.

221200202012020 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 221200202012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299378395008000).

221200202012020 is an abundant number, since it is smaller than the sum of its proper divisors (377556588003980).

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

221200202012020 is a wasteful number, since it uses less digits than its factorization.

221200202012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1812 counting only the distinct ones).

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

Adding to 221200202012020 its reverse (20210202002122), we get a palindrome (241410404014142).

The spelling of 221200202012020 in words is "two hundred twenty-one trillion, two hundred billion, two hundred two million, twelve thousand, twenty".