12212010010200 has 1536 divisors, whose sum is σ = 52729605089280. Its totient is φ = 2256076800000.

The previous prime is 12212010010177. The next prime is 12212010010229. The reversal of 12212010010200 is 201001021221.

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 383 ways as a sum of consecutive naturals, for example, 2244439480 + ... + 2244444920.

It is an arithmetic number, because the mean of its divisors is an integer number (34329169980).

Almost surely, 2^{12212010010200} is an apocalyptic number.

12212010010200 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 12212010010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26364802544640).

12212010010200 is an abundant number, since it is smaller than the sum of its proper divisors (40517595079080).

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

12212010010200 is a wasteful number, since it uses less digits than its factorization.

12212010010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629 (or 5620 counting only the distinct ones).

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

Adding to 12212010010200 its reverse (201001021221), we get a palindrome (12413011031421).

It can be divided in two parts, 12 and 212010010200, that added together give a palindrome (212010010212).

The spelling of 12212010010200 in words is "twelve trillion, two hundred twelve billion, ten million, ten thousand, two hundred".