34234102213212 has 144 divisors (see below), whose sum is σ = 89152518291200. Its totient is φ = 10215420779520.

The previous prime is 34234102213189. The next prime is 34234102213261. The reversal of 34234102213212 is 21231220143243.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34234102213212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27417243 + ... + 28638669.

Almost surely, 2^{34234102213212} 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 34234102213212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44576259145600).

34234102213212 is an abundant number, since it is smaller than the sum of its proper divisors (54918416077988).

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

34234102213212 is a wasteful number, since it uses less digits than its factorization.

34234102213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221752 (or 1221739 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34234102213212 its reverse (21231220143243), we get a palindrome (55465322356455).

The spelling of 34234102213212 in words is "thirty-four trillion, two hundred thirty-four billion, one hundred two million, two hundred thirteen thousand, two hundred twelve".