12116524201600 has 384 divisors, whose sum is σ = 37388788214400. Its totient is φ = 3777440071680.

The previous prime is 12116524201589. The next prime is 12116524201603. The reversal of 12116524201600 is 610242561121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12116524201603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19199886 + ... + 19820914.

It is an arithmetic number, because the mean of its divisors is an integer number (97366635975).

Almost surely, 2^{12116524201600} is an apocalyptic number.

12116524201600 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 12116524201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18694394107200).

12116524201600 is an abundant number, since it is smaller than the sum of its proper divisors (25272264012800).

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

12116524201600 is a wasteful number, since it uses less digits than its factorization.

12116524201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621140 (or 621123 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 12116524201600 its reverse (610242561121), we get a palindrome (12726766762721).

The spelling of 12116524201600 in words is "twelve trillion, one hundred sixteen billion, five hundred twenty-four million, two hundred one thousand, six hundred".