11512450331200 has 336 divisors, whose sum is σ = 35455971922560. Its totient is φ = 3581743841280.

The previous prime is 11512450331159. The next prime is 11512450331201. The reversal of 11512450331200 is 213305421511.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11512450331201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7920324 + ... + 9260476.

It is an arithmetic number, because the mean of its divisors is an integer number (105523725960).

Almost surely, 2^{11512450331200} is an apocalyptic number.

11512450331200 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 11512450331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17727985961280).

11512450331200 is an abundant number, since it is smaller than the sum of its proper divisors (23943521591360).

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

11512450331200 is a wasteful number, since it uses less digits than its factorization.

11512450331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340254 (or 1340239 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 11512450331200 its reverse (213305421511), we get a palindrome (11725755752711).

The spelling of 11512450331200 in words is "eleven trillion, five hundred twelve billion, four hundred fifty million, three hundred thirty-one thousand, two hundred".