1112223344400 has 1485 divisors, whose sum is σ = 4817800878453. Its totient is φ = 246021753600.

The previous prime is 1112223344381. The next prime is 1112223344443. The reversal of 1112223344400 is 44433222111.

The square root of 1112223344400 is 1054620.

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

1112223344400 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 223 + 34 + 4 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 400400403984 + 711822940416 = 632772^2 + 843696^2 .

It is a super-2 number, since 2×1112223344400² (a number of 25 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 (19) of ones.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 35878172385 + ... + 35878172415.

Almost surely, 2^{1112223344400} is an apocalyptic number.

1112223344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1112223344400 is the 1054620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112223344400

1112223344400 is an abundant number, since it is smaller than the sum of its proper divisors (3705577534053).

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

1112223344400 is an frugal number, since it uses more digits than its factorization.

1112223344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 48 counting only the distinct ones).

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

Adding to 1112223344400 its reverse (44433222111), we get a palindrome (1156656566511).

The spelling of 1112223344400 in words is "one trillion, one hundred twelve billion, two hundred twenty-three million, three hundred forty-four thousand, four hundred".