12201005252000 has 192 divisors, whose sum is σ = 30704505511680. Its totient is φ = 4763442816000.

The previous prime is 12201005251997. The next prime is 12201005252071. The reversal of 12201005252000 is 25250010221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29003165 + ... + 29420835.

It is an arithmetic number, because the mean of its divisors is an integer number (159919299540).

Almost surely, 2^{12201005252000} is an apocalyptic number.

12201005252000 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 12201005252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15352252755840).

12201005252000 is an abundant number, since it is smaller than the sum of its proper divisors (18503500259680).

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

12201005252000 is a wasteful number, since it uses less digits than its factorization.

12201005252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417872 (or 417854 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 12201005252000 its reverse (25250010221), we get a palindrome (12226255262221).

The spelling of 12201005252000 in words is "twelve trillion, two hundred one billion, five million, two hundred fifty-two thousand".