11221221303120 has 80 divisors (see below), whose sum is σ = 36832008761280. Its totient is φ = 2816306522112.

The previous prime is 11221221303091. The next prime is 11221221303133. The reversal of 11221221303120 is 2130312212211.

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

It is a super-2 number, since 2×11221221303120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1375145590 + ... + 1375153749.

It is an arithmetic number, because the mean of its divisors is an integer number (460400109516).

Almost surely, 2^{11221221303120} is an apocalyptic number.

11221221303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221221303120 is an abundant number, since it is smaller than the sum of its proper divisors (25610787458160).

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

11221221303120 is a wasteful number, since it uses less digits than its factorization.

11221221303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750299372 (or 2750299366 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11221221303120 its reverse (2130312212211), we get a palindrome (13351533515331).

Subtracting from 11221221303120 its reverse (2130312212211), we obtain a palindrome (9090909090909).

It can be divided in two parts, 1122122 and 1303120, that added together give a palindrome (2425242).

The spelling of 11221221303120 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, three hundred three thousand, one hundred twenty".