212001120121050 has 288 divisors, whose sum is σ = 634626368812800. Its totient is φ = 50378656043520.

The previous prime is 212001120120989. The next prime is 212001120121051. The reversal of 212001120121050 is 50121021100212.

212001120121050 is a `hidden beast` number, since 2 + 1 + 200 + 1 + 1 + 201 + 210 + 50 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212001120121051) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1327092081 + ... + 1327251819.

It is an arithmetic number, because the mean of its divisors is an integer number (2203563780600).

Almost surely, 2^{212001120121050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212001120121050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317313184406400).

212001120121050 is an abundant number, since it is smaller than the sum of its proper divisors (422625248691750).

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

212001120121050 is a wasteful number, since it uses less digits than its factorization.

212001120121050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167622 (or 167614 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 212001120121050 its reverse (50121021100212), we get a palindrome (262122141221262).

The spelling of 212001120121050 in words is "two hundred twelve trillion, one billion, one hundred twenty million, one hundred twenty-one thousand, fifty".