11340023200000 has 648 divisors, whose sum is σ = 32110462298880. Its totient is φ = 3989568000000.

The previous prime is 11340023199997. The next prime is 11340023200021. The reversal of 11340023200000 is 232004311.

It is a happy number.

It is a super-2 number, since 2×11340023200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3000798111 + ... + 3000801889.

It is an arithmetic number, because the mean of its divisors is an integer number (49553182560).

Almost surely, 2^{11340023200000} is an apocalyptic number.

11340023200000 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 11340023200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16055231149440).

11340023200000 is an abundant number, since it is smaller than the sum of its proper divisors (20770439098880).

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

11340023200000 is an frugal number, since it uses more digits than its factorization.

11340023200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11340023200000 its reverse (232004311), we get a palindrome (11340255204311).

The spelling of 11340023200000 in words is "eleven trillion, three hundred forty billion, twenty-three million, two hundred thousand".