210210222012012 has 144 divisors (see below), whose sum is σ = 552727822133760. Its totient is φ = 67301852282496.

The previous prime is 210210222011987. The next prime is 210210222012013.

It is a happy number.

210210222012012 is a `hidden beast` number, since 210 + 2 + 102 + 220 + 120 + 12 = 666.

210210222012012 is nontrivially palindromic in base 10.

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 (210210222012013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629833203 + ... + 630166869.

Almost surely, 2^{210210222012012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210210222012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276363911066880).

210210222012012 is an abundant number, since it is smaller than the sum of its proper divisors (342517600121748).

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

210210222012012 is a wasteful number, since it uses less digits than its factorization.

210210222012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339780 (or 339775 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

It can be divided in two parts, 210210 and 222012012, that added together give a palindrome (222222222).

The spelling of 210210222012012 in words is "two hundred ten trillion, two hundred ten billion, two hundred twenty-two million, twelve thousand, twelve".