2122214122212 has 144 divisors (see below), whose sum is σ = 5347496359296. Its totient is φ = 652734720000.

The previous prime is 2122214122187. The next prime is 2122214122291.

2122214122212 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2122214122212³ (a number of 38 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214338462 + ... + 214348362.

It is an arithmetic number, because the mean of its divisors is an integer number (37135391384).

Almost surely, 2^{2122214122212} 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 2122214122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673748179648).

2122214122212 is an abundant number, since it is smaller than the sum of its proper divisors (3225282237084).

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

2122214122212 is a wasteful number, since it uses less digits than its factorization.

2122214122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10230 (or 10127 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The spelling of 2122214122212 in words is "two trillion, one hundred twenty-two billion, two hundred fourteen million, one hundred twenty-two thousand, two hundred twelve".