11122233303000 has 512 divisors, whose sum is σ = 37476626503680. Its totient is φ = 2739179520000.

The previous prime is 11122233302953. The next prime is 11122233303031. The reversal of 11122233303000 is 30333222111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 274392735 + ... + 274433265.

It is an arithmetic number, because the mean of its divisors is an integer number (73196536140).

Almost surely, 2^{11122233303000} is an apocalyptic number.

11122233303000 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 11122233303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738313251840).

11122233303000 is an abundant number, since it is smaller than the sum of its proper divisors (26354393200680).

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

11122233303000 is a wasteful number, since it uses less digits than its factorization.

11122233303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40716 (or 40702 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11122233303000 its reverse (30333222111), we get a palindrome (11152566525111).

The spelling of 11122233303000 in words is "eleven trillion, one hundred twenty-two billion, two hundred thirty-three million, three hundred three thousand".