11534431121200 has 120 divisors (see below), whose sum is σ = 29881739665008. Its totient is φ = 4253355863040.

The previous prime is 11534431121177. The next prime is 11534431121203. The reversal of 11534431121200 is 212113443511.

It is not an unprimeable number, because it can be changed into a prime (11534431121203) 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, 2584827 + ... + 5454373.

Almost surely, 2^{11534431121200} is an apocalyptic number.

11534431121200 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 11534431121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14940869832504).

11534431121200 is an abundant number, since it is smaller than the sum of its proper divisors (18347308543808).

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

11534431121200 is a wasteful number, since it uses less digits than its factorization.

11534431121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870351 (or 2870340 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 11534431121200 its reverse (212113443511), we get a palindrome (11746544564711).

The spelling of 11534431121200 in words is "eleven trillion, five hundred thirty-four billion, four hundred thirty-one million, one hundred twenty-one thousand, two hundred".