11122233300000 has 864 divisors, whose sum is σ = 42741386251200. Its totient is φ = 2733730560000.

The previous prime is 11122233299977. The next prime is 11122233300001. The reversal of 11122233300000 is 333222111.

11122233300000 is a `hidden beast` number, since 1 + 112 + 223 + 330 + 0 + 0 + 0 + 0 = 666.

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11122233300001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 632691211 + ... + 632708789.

It is an arithmetic number, because the mean of its divisors is an integer number (49469197050).

Almost surely, 2^{11122233300000} is an apocalyptic number.

11122233300000 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 11122233300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21370693125600).

11122233300000 is an abundant number, since it is smaller than the sum of its proper divisors (31619152951200).

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

11122233300000 is a wasteful number, since it uses less digits than its factorization.

11122233300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17676 (or 17645 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11122233300000 its reverse (333222111), we get a palindrome (11122566522111).

The spelling of 11122233300000 in words is "eleven trillion, one hundred twenty-two billion, two hundred thirty-three million, three hundred thousand".