1112001221120 has 80 divisors (see below), whose sum is σ = 2702720374200. Its totient is φ = 438707257344.

The previous prime is 1112001221119. The next prime is 1112001221161. The reversal of 1112001221120 is 211221002111.

It can be written as a sum of positive squares in 4 ways, for example, as 933836187904 + 178165033216 = 966352^2 + 422096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1112001221120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1112001221095 and 1112001221104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2788295 + ... + 3162054.

Almost surely, 2^{1112001221120} is an apocalyptic number.

1112001221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112001221120 is an abundant number, since it is smaller than the sum of its proper divisors (1590719153080).

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

1112001221120 is an frugal number, since it uses more digits than its factorization.

1112001221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950445 (or 5950429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1112001221120 its reverse (211221002111), we get a palindrome (1323222223231).

The spelling of 1112001221120 in words is "one trillion, one hundred twelve billion, one million, two hundred twenty-one thousand, one hundred twenty".