111222334440000 has 3465 divisors, whose sum is σ = 497256207836751. Its totient is φ = 24602175360000.

The previous prime is 111222334439977. The next prime is 111222334440017. The reversal of 111222334440000 is 44433222111.

The square root of 111222334440000 is 10546200.

It is a perfect power (a square), and thus also a powerful number.

111222334440000 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 223 + 34 + 4 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8719831020096 + 102502503419904 = 2952936^2 + 10124352^2 .

It is a super-2 number, since 2×111222334440000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 494 ways as a sum of consecutive naturals, for example, 3587817239985 + ... + 3587817240015.

Almost surely, 2^{111222334440000} is an apocalyptic number.

111222334440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111222334440000 is the 10546200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111222334440000

111222334440000 is an abundant number, since it is smaller than the sum of its proper divisors (386033873396751).

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

111222334440000 is an frugal number, since it uses more digits than its factorization.

111222334440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 111222334440000 its reverse (44433222111), we get a palindrome (111266767662111).

The spelling of 111222334440000 in words is "one hundred eleven trillion, two hundred twenty-two billion, three hundred thirty-four million, four hundred forty thousand".