1220331221120 has 128 divisors (see below), whose sum is σ = 3256582380480. Its totient is φ = 433436774400.

The previous prime is 1220331221009. The next prime is 1220331221233. The reversal of 1220331221120 is 211221330221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1220331221092 and 1220331221101.

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 15 ways as a sum of consecutive naturals, for example, 1712891 + ... + 2318330.

Almost surely, 2^{1220331221120} is an apocalyptic number.

1220331221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220331221120 is an abundant number, since it is smaller than the sum of its proper divisors (2036251159360).

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

1220331221120 is a wasteful number, since it uses less digits than its factorization.

1220331221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031294 (or 4031282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1220331221120 its reverse (211221330221), we get a palindrome (1431552551341).

The spelling of 1220331221120 in words is "one trillion, two hundred twenty billion, three hundred thirty-one million, two hundred twenty-one thousand, one hundred twenty".