221122020 has 96 divisors (see below), whose sum is σ = 724905216. Its totient is φ = 49305600.

The previous prime is 221122003. The next prime is 221122049. The reversal of 221122020 is 20221122.

221122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×221122020³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221121987 and 221122005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10800 + ... + 23640.

It is an arithmetic number, because the mean of its divisors is an integer number (7551096).

Almost surely, 2^221122020 is an apocalyptic number.

221122020 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 221122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362452608).

221122020 is an abundant number, since it is smaller than the sum of its proper divisors (503783196).

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

221122020 is a wasteful number, since it uses less digits than its factorization.

221122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12901 (or 12899 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221122020 is about 14870.1721577122. The cubic root of 221122020 is about 604.7056100246.

Adding to 221122020 its reverse (20221122), we get a palindrome (241343142).

The spelling of 221122020 in words is "two hundred twenty-one million, one hundred twenty-two thousand, twenty".