20012120212000 has 192 divisors, whose sum is σ = 56342332650240. Its totient is φ = 6843191040000.

The previous prime is 20012120211947. The next prime is 20012120212033. The reversal of 20012120212000 is 21202121002.

It is a happy number.

It is a super-3 number, since 3×20012120212000³ (a number of 41 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9669100 + ... + 11554900.

It is an arithmetic number, because the mean of its divisors is an integer number (293449649220).

Almost surely, 2^{20012120212000} is an apocalyptic number.

20012120212000 is a gapful number since it is divisible by the number (20) 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 20012120212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28171166325120).

20012120212000 is an abundant number, since it is smaller than the sum of its proper divisors (36330212438240).

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

20012120212000 is a wasteful number, since it uses less digits than its factorization.

20012120212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886212 (or 1886194 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20012120212000 its reverse (21202121002), we get a palindrome (20033322333002).

The spelling of 20012120212000 in words is "twenty trillion, twelve billion, one hundred twenty million, two hundred twelve thousand".