2232213210312 has 128 divisors (see below), whose sum is σ = 5846811586560. Its totient is φ = 709336316160.

The previous prime is 2232213210301. The next prime is 2232213210329. The reversal of 2232213210312 is 2130123122322.

It is a super-3 number, since 3×2232213210312³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21375858 + ... + 21480030.

It is an arithmetic number, because the mean of its divisors is an integer number (45678215520).

Almost surely, 2^{2232213210312} 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 2232213210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923405793280).

2232213210312 is an abundant number, since it is smaller than the sum of its proper divisors (3614598376248).

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

2232213210312 is a wasteful number, since it uses less digits than its factorization.

2232213210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104643 (or 104639 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2232213210312 its reverse (2130123122322), we get a palindrome (4362336332634).

The spelling of 2232213210312 in words is "two trillion, two hundred thirty-two billion, two hundred thirteen million, two hundred ten thousand, three hundred twelve".