212002122112000 has 352 divisors, whose sum is σ = 582693709590720. Its totient is φ = 76328345600000.

The previous prime is 212002122111979. The next prime is 212002122112063. The reversal of 212002122112000 is 211221200212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

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, 141462606 + ... + 142953394.

Almost surely, 2^{212002122112000} is an apocalyptic number.

212002122112000 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 212002122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291346854795360).

212002122112000 is an abundant number, since it is smaller than the sum of its proper divisors (370691587478720).

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

212002122112000 is a wasteful number, since it uses less digits than its factorization.

212002122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490936 (or 1490908 counting only the distinct ones).

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

Adding to 212002122112000 its reverse (211221200212), we get a palindrome (212213343312212).

The spelling of 212002122112000 in words is "two hundred twelve trillion, two billion, one hundred twenty-two million, one hundred twelve thousand".