2120212120212 has 108 divisors (see below), whose sum is σ = 5516708196636. Its totient is φ = 686572899840.

The previous prime is 2120212120199. The next prime is 2120212120339.

It is a happy number.

2120212120212 is a `hidden beast` number, since 2 + 120 + 212 + 120 + 212 = 666.

2120212120212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 241656795396 + 1878555324816 = 491586^2 + 1370604^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32149512 + ... + 32215392.

Almost surely, 2^{2120212120212} 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 2120212120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758354098318).

2120212120212 is an abundant number, since it is smaller than the sum of its proper divisors (3396496076424).

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

2120212120212 is a wasteful number, since it uses less digits than its factorization.

2120212120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66618 (or 66576 counting only the distinct ones).

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

The spelling of 2120212120212 in words is "two trillion, one hundred twenty billion, two hundred twelve million, one hundred twenty thousand, two hundred twelve".