2122034302212 has 288 divisors, whose sum is σ = 5750058585600. Its totient is φ = 607771422720.

The previous prime is 2122034302189. The next prime is 2122034302217.

2122034302212 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2122034302217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 421119589 + ... + 421124627.

It is an arithmetic number, because the mean of its divisors is an integer number (19965481200).

Almost surely, 2^{2122034302212} is an apocalyptic number.

2122034302212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122034302212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875029292800).

2122034302212 is an abundant number, since it is smaller than the sum of its proper divisors (3628024283388).

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

2122034302212 is a wasteful number, since it uses less digits than its factorization.

2122034302212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 2122034302212 in words is "two trillion, one hundred twenty-two billion, thirty-four million, three hundred two thousand, two hundred twelve".