212122021210000 has 200 divisors, whose sum is σ = 560282478465600. Its totient is φ = 77131728960000.

The previous prime is 212122021209977. The next prime is 212122021210007. The reversal of 212122021210000 is 12120221212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is not an unprimeable number, because it can be changed into a prime (212122021210007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4166664546 + ... + 4166715454.

It is an arithmetic number, because the mean of its divisors is an integer number (2801412392328).

Almost surely, 2^{212122021210000} is an apocalyptic number.

212122021210000 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 212122021210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280141239232800).

212122021210000 is an abundant number, since it is smaller than the sum of its proper divisors (348160457255600).

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

212122021210000 is a wasteful number, since it uses less digits than its factorization.

212122021210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88827 (or 88806 counting only the distinct ones).

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

Adding to 212122021210000 its reverse (12120221212), we get a palindrome (212134141431212).

The spelling of 212122021210000 in words is "two hundred twelve trillion, one hundred twenty-two billion, twenty-one million, two hundred ten thousand".