11333123230000 has 400 divisors, whose sum is σ = 33932278195200. Its totient is φ = 3603899520000.

The previous prime is 11333123229979. The next prime is 11333123230061. The reversal of 11333123230000 is 3232133311.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (22).

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 79 ways as a sum of consecutive naturals, for example, 26961441 + ... + 27378559.

It is an arithmetic number, because the mean of its divisors is an integer number (84830695488).

Almost surely, 2^{11333123230000} is an apocalyptic number.

11333123230000 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 11333123230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16966139097600).

11333123230000 is an abundant number, since it is smaller than the sum of its proper divisors (22599154965200).

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

11333123230000 is a wasteful number, since it uses less digits than its factorization.

11333123230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417190 (or 417169 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 11333123230000 its reverse (3232133311), we get a palindrome (11336355363311).

The spelling of 11333123230000 in words is "eleven trillion, three hundred thirty-three billion, one hundred twenty-three million, two hundred thirty thousand".