12061123200 has 576 divisors, whose sum is σ = 50905670400. Its totient is φ = 2660474880.

The previous prime is 12061123163. The next prime is 12061123213. The reversal of 12061123200 is 232116021.

12061123200 is a `hidden beast` number, since 1 + 20 + 611 + 2 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5845369 + ... + 5847431.

It is an arithmetic number, because the mean of its divisors is an integer number (88377900).

Almost surely, 2^12061123200 is an apocalyptic number.

12061123200 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 12061123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25452835200).

12061123200 is an abundant number, since it is smaller than the sum of its proper divisors (38844547200).

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

12061123200 is a wasteful number, since it uses less digits than its factorization.

12061123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12061123200 its reverse (232116021), we get a palindrome (12293239221).

The spelling of 12061123200 in words is "twelve billion, sixty-one million, one hundred twenty-three thousand, two hundred".