11232134400 has 432 divisors, whose sum is σ = 38698675904. Its totient is φ = 2866544640.

The previous prime is 11232134393. The next prime is 11232134423. The reversal of 11232134400 is 443123211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68908719 + ... + 68908881.

Almost surely, 2^11232134400 is an apocalyptic number.

11232134400 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 11232134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19349337952).

11232134400 is an abundant number, since it is smaller than the sum of its proper divisors (27466541504).

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

11232134400 is a wasteful number, since it uses less digits than its factorization.

11232134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11232134400 its reverse (443123211), we get a palindrome (11675257611).

The spelling of 11232134400 in words is "eleven billion, two hundred thirty-two million, one hundred thirty-four thousand, four hundred".