221224021020 has 96 divisors (see below), whose sum is σ = 698525049600. Its totient is φ = 58112569152.

The previous prime is 221224021009. The next prime is 221224021021. The reversal of 221224021020 is 20120422122.

221224021020 is a `hidden beast` number, since 2 + 212 + 240 + 210 + 2 + 0 = 666.

221224021020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221224020984 and 221224021002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221224021021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3021090 + ... + 3093449.

It is an arithmetic number, because the mean of its divisors is an integer number (7276302600).

Almost surely, 2^221224021020 is an apocalyptic number.

221224021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221224021020 is an abundant number, since it is smaller than the sum of its proper divisors (477301028580).

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

221224021020 is a wasteful number, since it uses less digits than its factorization.

221224021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114624 (or 6114616 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221224021020 its reverse (20120422122), we get a palindrome (241344443142).

The spelling of 221224021020 in words is "two hundred twenty-one billion, two hundred twenty-four million, twenty-one thousand, twenty".