1220443413120 has 96 divisors (see below), whose sum is σ = 4214343680820. Its totient is φ = 325451575296.

The previous prime is 1220443413103. The next prime is 1220443413229. The reversal of 1220443413120 is 213143440221.

1220443413120 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 4 + 4 + 341 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1200181598784 + 20261814336 = 1095528^2 + 142344^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 105935509 + ... + 105947028.

Almost surely, 2^{1220443413120} is an apocalyptic number.

1220443413120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220443413120 is an abundant number, since it is smaller than the sum of its proper divisors (2993900267700).

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

1220443413120 is a wasteful number, since it uses less digits than its factorization.

1220443413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211882562 (or 211882547 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1220443413120 its reverse (213143440221), we get a palindrome (1433586853341).

The spelling of 1220443413120 in words is "one trillion, two hundred twenty billion, four hundred forty-three million, four hundred thirteen thousand, one hundred twenty".