11122233444000 has 2376 divisors, whose sum is σ = 49270912625844. Its totient is φ = 2460217536000.

The previous prime is 11122233443987. The next prime is 11122233444011. The reversal of 11122233444000 is 44433222111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11122233444000 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 223 + 34 + 4 + 400 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7518629808144 + 3603603635856 = 2742012^2 + 1898316^2 .

It is a super-2 number, since 2×11122233444000² (a number of 27 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 (17) of ones.

It is a polite number, since it can be written in 395 ways as a sum of consecutive naturals, for example, 358781723985 + ... + 358781724015.

Almost surely, 2^{11122233444000} is an apocalyptic number.

11122233444000 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 11122233444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24635456312922).

11122233444000 is an abundant number, since it is smaller than the sum of its proper divisors (38148679181844).

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

11122233444000 is an frugal number, since it uses more digits than its factorization.

11122233444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 48 counting only the distinct ones).

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

Adding to 11122233444000 its reverse (44433222111), we get a palindrome (11166666666111).

The spelling of 11122233444000 in words is "eleven trillion, one hundred twenty-two billion, two hundred thirty-three million, four hundred forty-four thousand".