11232240122400 has 576 divisors, whose sum is σ = 42251114505600. Its totient is φ = 2561561395200.

The previous prime is 11232240122371. The next prime is 11232240122401. The reversal of 11232240122400 is 422104223211.

11232240122400 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 (24).

It is not an unprimeable number, because it can be changed into a prime (11232240122401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1201432926 + ... + 1201442274.

It is an arithmetic number, because the mean of its divisors is an integer number (73352629350).

Almost surely, 2^{11232240122400} is an apocalyptic number.

11232240122400 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 11232240122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21125557252800).

11232240122400 is an abundant number, since it is smaller than the sum of its proper divisors (31018874383200).

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

11232240122400 is a wasteful number, since it uses less digits than its factorization.

11232240122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12077 (or 12064 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11232240122400 its reverse (422104223211), we get a palindrome (11654344345611).

The spelling of 11232240122400 in words is "eleven trillion, two hundred thirty-two billion, two hundred forty million, one hundred twenty-two thousand, four hundred".