1220514340224 has 64 divisors (see below), whose sum is σ = 3244270947840. Its totient is φ = 406552029696.

The previous prime is 1220514340159. The next prime is 1220514340271. The reversal of 1220514340224 is 4220434150221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1220514340191 and 1220514340200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570372 + ... + 1663235.

It is an arithmetic number, because the mean of its divisors is an integer number (50691733560).

Almost surely, 2^{1220514340224} is an apocalyptic number.

It is an amenable number.

1220514340224 is an abundant number, since it is smaller than the sum of its proper divisors (2023756607616).

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

1220514340224 is a wasteful number, since it uses less digits than its factorization.

1220514340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235047 (or 2235035 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1220514340224 its reverse (4220434150221), we get a palindrome (5440948490445).

The spelling of 1220514340224 in words is "one trillion, two hundred twenty billion, five hundred fourteen million, three hundred forty thousand, two hundred twenty-four".