212123121210 has 576 divisors, whose sum is σ = 774181908864. Its totient is φ = 39582950400.

The previous prime is 212123121193. The next prime is 212123121211. The reversal of 212123121210 is 12121321212.

212123121210 is a `hidden beast` number, since 21 + 212 + 312 + 121 + 0 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212123121211) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23328765 + ... + 23337855.

It is an arithmetic number, because the mean of its divisors is an integer number (1344065814).

Almost surely, 2^212123121210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212123121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387090954432).

212123121210 is an abundant number, since it is smaller than the sum of its proper divisors (562058787654).

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

212123121210 is a wasteful number, since it uses less digits than its factorization.

212123121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9179 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212123121210 its reverse (12121321212), we get a palindrome (224244442422).

It can be divided in two parts, 212123 and 121210, that added together give a palindrome (333333).

The spelling of 212123121210 in words is "two hundred twelve billion, one hundred twenty-three million, one hundred twenty-one thousand, two hundred ten".