212012120212000 has 192 divisors, whose sum is σ = 537753754137600. Its totient is φ = 82063666944000.

The previous prime is 212012120211953. The next prime is 212012120212027. The reversal of 212012120212000 is 212021210212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2163627007 + ... + 2163724993.

It is an arithmetic number, because the mean of its divisors is an integer number (2800800802800).

Almost surely, 2^{212012120212000} is an apocalyptic number.

212012120212000 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 212012120212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268876877068800).

212012120212000 is an abundant number, since it is smaller than the sum of its proper divisors (325741633925600).

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

212012120212000 is a wasteful number, since it uses less digits than its factorization.

212012120212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115492 (or 115474 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212012120212000 its reverse (212021210212), we get a palindrome (212224141422212).

The spelling of 212012120212000 in words is "two hundred twelve trillion, twelve billion, one hundred twenty million, two hundred twelve thousand".