11122400320 has 28 divisors (see below), whose sum is σ = 26485216524. Its totient is φ = 4448960000.

The previous prime is 11122400293. The next prime is 11122400321. The reversal of 11122400320 is 2300422111.

It can be written as a sum of positive squares in 2 ways, for example, as 1832524864 + 9289875456 = 42808^2 + 96384^2 .

It is a super-2 number, since 2×11122400320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11122400294 and 11122400303.

It is not an unprimeable number, because it can be changed into a prime (11122400321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17378431 + ... + 17379070.

Almost surely, 2^11122400320 is an apocalyptic number.

11122400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122400320 is an abundant number, since it is smaller than the sum of its proper divisors (15362816204).

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

11122400320 is an equidigital number, since it uses as much as digits as its factorization.

11122400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34757518 (or 34757508 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11122400320 its reverse (2300422111), we get a palindrome (13422822431).

The spelling of 11122400320 in words is "eleven billion, one hundred twenty-two million, four hundred thousand, three hundred twenty".