1112223312000 has 1280 divisors, whose sum is σ = 4330309183200. Its totient is φ = 282562560000.

The previous prime is 1112223311957. The next prime is 1112223312023. The reversal of 1112223312000 is 2133222111.

1112223312000 is a `hidden beast` number, since 1 + 112 + 22 + 331 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 143920079424 + 968303232576 = 379368^2 + 984024^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 3795983854 + ... + 3795984146.

Almost surely, 2^{1112223312000} is an apocalyptic number.

1112223312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112223312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165154591600).

1112223312000 is an abundant number, since it is smaller than the sum of its proper divisors (3218085871200).

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

1112223312000 is a wasteful number, since it uses less digits than its factorization.

1112223312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1112223312000 its reverse (2133222111), we get a palindrome (1114356534111).

The spelling of 1112223312000 in words is "one trillion, one hundred twelve billion, two hundred twenty-three million, three hundred twelve thousand".