1220120224 has 48 divisors (see below), whose sum is σ = 2442908160. Its totient is φ = 599779840.

The previous prime is 1220120221. The next prime is 1220120249. The reversal of 1220120224 is 4220210221.

It is a super-2 number, since 2×1220120224² = 2977386722027620352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1220120198 and 1220120207.

It is not an unprimeable number, because it can be changed into a prime (1220120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542847 + ... + 545089.

It is an arithmetic number, because the mean of its divisors is an integer number (50893920).

Almost surely, 2^1220120224 is an apocalyptic number.

It is an amenable number.

1220120224 is an abundant number, since it is smaller than the sum of its proper divisors (1222787936).

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

1220120224 is a wasteful number, since it uses less digits than its factorization.

1220120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1220120224 is about 34930.2193523030. The cubic root of 1220120224 is about 1068.5648281540.

Adding to 1220120224 its reverse (4220210221), we get a palindrome (5440330445).

The spelling of 1220120224 in words is "one billion, two hundred twenty million, one hundred twenty thousand, two hundred twenty-four".