12000000212112 has 240 divisors, whose sum is σ = 34302819590144. Its totient is φ = 3612057926400.

The previous prime is 12000000212107. The next prime is 12000000212153. The reversal of 12000000212112 is 21121200000021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599660187 + ... + 599680197.

Almost surely, 2^{12000000212112} is an apocalyptic number.

12000000212112 is a gapful number since it is divisible by the number (12) 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 12000000212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151409795072).

12000000212112 is an abundant number, since it is smaller than the sum of its proper divisors (22302819378032).

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

12000000212112 is a wasteful number, since it uses less digits than its factorization.

12000000212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20730 (or 20713 counting only the distinct ones).

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

Adding to 12000000212112 its reverse (21121200000021), we get a palindrome (33121200212133).

It can be divided in two parts, 1200000021 and 2112, that multiplied together give a palindrome (2534400044352).

The spelling of 12000000212112 in words is "twelve trillion, two hundred twelve thousand, one hundred twelve".