11430400131200 has 192 divisors, whose sum is σ = 28568314591200. Its totient is φ = 4518752624640.

The previous prime is 11430400131149. The next prime is 11430400131203. The reversal of 11430400131200 is 213100403411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11430400131203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99459371 + ... + 99574229.

Almost surely, 2^{11430400131200} is an apocalyptic number.

11430400131200 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 11430400131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284157295600).

11430400131200 is an abundant number, since it is smaller than the sum of its proper divisors (17137914460000).

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

11430400131200 is a wasteful number, since it uses less digits than its factorization.

11430400131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115247 (or 115230 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11430400131200 its reverse (213100403411), we get a palindrome (11643500534611).

The spelling of 11430400131200 in words is "eleven trillion, four hundred thirty billion, four hundred million, one hundred thirty-one thousand, two hundred".