12200120210000 has 400 divisors, whose sum is σ = 32955742036800. Its totient is φ = 4346698752000.

The previous prime is 12200120209957. The next prime is 12200120210039. The reversal of 12200120210000 is 1202100221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5229368834 + ... + 5229371166.

It is an arithmetic number, because the mean of its divisors is an integer number (82389355092).

Almost surely, 2^{12200120210000} is an apocalyptic number.

12200120210000 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 12200120210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16477871018400).

12200120210000 is an abundant number, since it is smaller than the sum of its proper divisors (20755621826800).

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

12200120210000 is a wasteful number, since it uses less digits than its factorization.

12200120210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12200120210000 its reverse (1202100221), we get a palindrome (12201322310221).

The spelling of 12200120210000 in words is "twelve trillion, two hundred billion, one hundred twenty million, two hundred ten thousand".