12100012201200 has 960 divisors, whose sum is σ = 51398182305792. Its totient is φ = 2355709132800.

The previous prime is 12100012201163. The next prime is 12100012201261. The reversal of 12100012201200 is 210221000121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 350271129 + ... + 350305671.

Almost surely, 2^{12100012201200} is an apocalyptic number.

12100012201200 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 12100012201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25699091152896).

12100012201200 is an abundant number, since it is smaller than the sum of its proper divisors (39298170104592).

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

12100012201200 is a wasteful number, since it uses less digits than its factorization.

12100012201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34822 (or 34811 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12100012201200 its reverse (210221000121), we get a palindrome (12310233201321).

The spelling of 12100012201200 in words is "twelve trillion, one hundred billion, twelve million, two hundred one thousand, two hundred".