11233103022000 has 960 divisors, whose sum is σ = 43880214343680. Its totient is φ = 2664797184000.

The previous prime is 11233103021977. The next prime is 11233103022079. The reversal of 11233103022000 is 22030133211.

11233103022000 is a `hidden beast` number, since 1 + 12 + 331 + 0 + 302 + 20 + 0 + 0 = 666.

11233103022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407884231 + ... + 407911769.

It is an arithmetic number, because the mean of its divisors is an integer number (45708556608).

Almost surely, 2^{11233103022000} is an apocalyptic number.

11233103022000 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 11233103022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21940107171840).

11233103022000 is an abundant number, since it is smaller than the sum of its proper divisors (32647111321680).

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

11233103022000 is a wasteful number, since it uses less digits than its factorization.

11233103022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27659 (or 27640 counting only the distinct ones).

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

Adding to 11233103022000 its reverse (22030133211), we get a palindrome (11255133155211).

The spelling of 11233103022000 in words is "eleven trillion, two hundred thirty-three billion, one hundred three million, twenty-two thousand".