11122300440144 has 30 divisors (see below), whose sum is σ = 31126993593306. Its totient is φ = 3707433480000.

The previous prime is 11122300440133. The next prime is 11122300440149. The reversal of 11122300440144 is 44104400322111.

11122300440144 is a `hidden beast` number, since 11 + 12 + 230 + 0 + 4 + 401 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8949742358544 + 2172558081600 = 2991612^2 + 1473960^2 .

It is a super-2 number, since 2×11122300440144² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122300440149) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 38619098607 + ... + 38619098894.

Almost surely, 2^{11122300440144} is an apocalyptic number.

It is an amenable number.

11122300440144 is an abundant number, since it is smaller than the sum of its proper divisors (20004693153162).

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

11122300440144 is a wasteful number, since it uses less digits than its factorization.

11122300440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77238197515 (or 77238197506 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11122300440144 its reverse (44104400322111), we get a palindrome (55226700762255).

The spelling of 11122300440144 in words is "eleven trillion, one hundred twenty-two billion, three hundred million, four hundred forty thousand, one hundred forty-four".