11232123025200 has 720 divisors, whose sum is σ = 46352566603008. Its totient is φ = 2258641152000.

The previous prime is 11232123025157. The next prime is 11232123025219. The reversal of 11232123025200 is 252032123211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88733154 + ... + 88859646.

Almost surely, 2^{11232123025200} is an apocalyptic number.

11232123025200 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 11232123025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23176283301504).

11232123025200 is an abundant number, since it is smaller than the sum of its proper divisors (35120443577808).

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

11232123025200 is a wasteful number, since it uses less digits than its factorization.

11232123025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126594 (or 126552 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 11232123025200 its reverse (252032123211), we get a palindrome (11484155148411).

The spelling of 11232123025200 in words is "eleven trillion, two hundred thirty-two billion, one hundred twenty-three million, twenty-five thousand, two hundred".