212200333002000 has 960 divisors, whose sum is σ = 852924784558080. Its totient is φ = 48166005888000.

The previous prime is 212200333001989. The next prime is 212200333002011. The reversal of 212200333002000 is 200333002212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212200333001989) and next prime (212200333002011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12309309381 + ... + 12309326619.

It is an arithmetic number, because the mean of its divisors is an integer number (888463317248).

Almost surely, 2^{212200333002000} is an apocalyptic number.

212200333002000 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 212200333002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426462392279040).

212200333002000 is an abundant number, since it is smaller than the sum of its proper divisors (640724451556080).

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

212200333002000 is a wasteful number, since it uses less digits than its factorization.

212200333002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17949 (or 17930 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212200333002000 its reverse (200333002212), we get a palindrome (212400666004212).

The spelling of 212200333002000 in words is "two hundred twelve trillion, two hundred billion, three hundred thirty-three million, two thousand".