221213434020 has 192 divisors, whose sum is σ = 644906368512. Its totient is φ = 56609280000.

The previous prime is 221213434019. The next prime is 221213434027. The reversal of 221213434020 is 20434312122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221213434027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63004065 + ... + 63007575.

It is an arithmetic number, because the mean of its divisors is an integer number (3358887336).

Almost surely, 2^221213434020 is an apocalyptic number.

221213434020 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 221213434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322453184256).

221213434020 is an abundant number, since it is smaller than the sum of its proper divisors (423692934492).

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

221213434020 is a wasteful number, since it uses less digits than its factorization.

221213434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 221213434020 its reverse (20434312122), we get a palindrome (241647746142).

The spelling of 221213434020 in words is "two hundred twenty-one billion, two hundred thirteen million, four hundred thirty-four thousand, twenty".