12146200800 has 576 divisors, whose sum is σ = 44010558144. Its totient is φ = 2896691200.

The previous prime is 12146200771. The next prime is 12146200811. The reversal of 12146200800 is 800264121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88658332 + ... + 88658468.

It is an arithmetic number, because the mean of its divisors is an integer number (76407219).

Almost surely, 2^12146200800 is an apocalyptic number.

12146200800 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 12146200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22005279072).

12146200800 is an abundant number, since it is smaller than the sum of its proper divisors (31864357344).

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

12146200800 is a wasteful number, since it uses less digits than its factorization.

12146200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12146200800 its reverse (800264121), we get a palindrome (12946464921).

The spelling of 12146200800 in words is "twelve billion, one hundred forty-six million, two hundred thousand, eight hundred".