34233223112112 has 160 divisors (see below), whose sum is σ = 94352868966400. Its totient is φ = 10664120054016.

The previous prime is 34233223112063. The next prime is 34233223112129. The reversal of 34233223112112 is 21121132233243.

It is a super-2 number, since 2×34233223112112² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34233223112112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80698353 + ... + 81121455.

It is an arithmetic number, because the mean of its divisors is an integer number (589705431040).

Almost surely, 2^{34233223112112} 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 34233223112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47176434483200).

34233223112112 is an abundant number, since it is smaller than the sum of its proper divisors (60119645854288).

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

34233223112112 is a wasteful number, since it uses less digits than its factorization.

34233223112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424335 (or 424329 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 34233223112112 its reverse (21121132233243), we get a palindrome (55354355345355).

The spelling of 34233223112112 in words is "thirty-four trillion, two hundred thirty-three billion, two hundred twenty-three million, one hundred twelve thousand, one hundred twelve".