220120000224 has 48 divisors (see below), whose sum is σ = 577867788288. Its totient is φ = 73366630272.

The previous prime is 220120000207. The next prime is 220120000259. The reversal of 220120000224 is 422000021022.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×220120000224² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1013409 + ... + 1211295.

It is an arithmetic number, because the mean of its divisors is an integer number (12038912256).

Almost surely, 2^220120000224 is an apocalyptic number.

220120000224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220120000224 is an abundant number, since it is smaller than the sum of its proper divisors (357747788064).

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

220120000224 is a wasteful number, since it uses less digits than its factorization.

220120000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209487 (or 209479 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 220120000224 its reverse (422000021022), we get a palindrome (642120021246).

The spelling of 220120000224 in words is "two hundred twenty billion, one hundred twenty million, two hundred twenty-four", and thus it is an aban number.