212112001202000 has 320 divisors, whose sum is σ = 533839746623040. Its totient is φ = 81415577600000.

The previous prime is 212112001201963. The next prime is 212112001202027. The reversal of 212112001202000 is 202100211212.

It can be written as a sum of positive squares in 32 ways, for example, as 147134085853456 + 64977915348544 = 12129884^2 + 8060888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11163192500 + ... + 11163211500.

It is an arithmetic number, because the mean of its divisors is an integer number (1668249208197).

Almost surely, 2^{212112001202000} is an apocalyptic number.

212112001202000 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 212112001202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266919873311520).

212112001202000 is an abundant number, since it is smaller than the sum of its proper divisors (321727745421040).

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

212112001202000 is a wasteful number, since it uses less digits than its factorization.

212112001202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20227 (or 20211 counting only the distinct ones).

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

Adding to 212112001202000 its reverse (202100211212), we get a palindrome (212314101413212).

The spelling of 212112001202000 in words is "two hundred twelve trillion, one hundred twelve billion, one million, two hundred two thousand".