220223301120 has 320 divisors, whose sum is σ = 783160678080. Its totient is φ = 58657996800.

The previous prime is 220223301091. The next prime is 220223301143. The reversal of 220223301120 is 21103322022.

220223301120 is a `hidden beast` number, since 2 + 20 + 223 + 301 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 220223301093 and 220223301102.

It is a congruent number.

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, 94071150 + ... + 94073490.

It is an arithmetic number, because the mean of its divisors is an integer number (2447377119).

Almost surely, 2^220223301120 is an apocalyptic number.

220223301120 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 220223301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391580339040).

220223301120 is an abundant number, since it is smaller than the sum of its proper divisors (562937376960).

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

220223301120 is a wasteful number, since it uses less digits than its factorization.

220223301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220223301120 its reverse (21103322022), we get a palindrome (241326623142).

The spelling of 220223301120 in words is "two hundred twenty billion, two hundred twenty-three million, three hundred one thousand, one hundred twenty".