12102210212000 has 96 divisors (see below), whose sum is σ = 29742814679760. Its totient is φ = 4839633100800.

The previous prime is 12102210211979. The next prime is 12102210212039. The reversal of 12102210212000 is 21201220121.

It can be written as a sum of positive squares in 8 ways, for example, as 14377928464 + 12087832283536 = 119908^2 + 3476756^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15167012 + ... + 15944988.

Almost surely, 2^{12102210212000} is an apocalyptic number.

12102210212000 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 12102210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871407339880).

12102210212000 is an abundant number, since it is smaller than the sum of its proper divisors (17640604467760).

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

12102210212000 is an equidigital number, since it uses as much as digits as its factorization.

12102210212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781891 (or 781873 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12102210212000 its reverse (21201220121), we get a palindrome (12123411432121).

The spelling of 12102210212000 in words is "twelve trillion, one hundred two billion, two hundred ten million, two hundred twelve thousand".