11300122313120 has 24 divisors (see below), whose sum is σ = 26696538965124. Its totient is φ = 4520048925184.

The previous prime is 11300122313111. The next prime is 11300122313167. The reversal of 11300122313120 is 2131322100311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10480163086864 + 819959226256 = 3237308^2 + 905516^2 .

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 = 11300122313092 and 11300122313101.

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 3 ways as a sum of consecutive naturals, for example, 35312882069 + ... + 35312882388.

Almost surely, 2^{11300122313120} is an apocalyptic number.

11300122313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300122313120 is an abundant number, since it is smaller than the sum of its proper divisors (15396416652004).

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

11300122313120 is an equidigital number, since it uses as much as digits as its factorization.

11300122313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70625764472 (or 70625764464 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11300122313120 its reverse (2131322100311), we get a palindrome (13431444413431).

The spelling of 11300122313120 in words is "eleven trillion, three hundred billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred twenty".