224120201220 has 72 divisors (see below), whose sum is σ = 680257842264. Its totient is φ = 59727886848.

The previous prime is 224120201213. The next prime is 224120201297. The reversal of 224120201220 is 22102021422.

224120201220 is a `hidden beast` number, since 2 + 241 + 2 + 0 + 201 + 220 = 666.

224120201220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9054283716 + 215065917504 = 95154^2 + 463752^2 .

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 = 224120201193 and 224120201202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102369 + ... + 677288.

It is an arithmetic number, because the mean of its divisors is an integer number (9448025587).

Almost surely, 2^224120201220 is an apocalyptic number.

224120201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224120201220 is an abundant number, since it is smaller than the sum of its proper divisors (456137641044).

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

224120201220 is a wasteful number, since it uses less digits than its factorization.

224120201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781269 (or 781264 counting only the distinct ones).

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

Adding to 224120201220 its reverse (22102021422), we get a palindrome (246222222642).

The spelling of 224120201220 in words is "two hundred twenty-four billion, one hundred twenty million, two hundred one thousand, two hundred twenty".