34212055120 has 80 divisors (see below), whose sum is σ = 83901862080. Its totient is φ = 12937881600.

The previous prime is 34212055117. The next prime is 34212055151. The reversal of 34212055120 is 2155021243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×34212055120³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 723400 + ... + 769240.

It is an arithmetic number, because the mean of its divisors is an integer number (1048773276).

Almost surely, 2^34212055120 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 34212055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41950931040).

34212055120 is an abundant number, since it is smaller than the sum of its proper divisors (49689806960).

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

34212055120 is a wasteful number, since it uses less digits than its factorization.

34212055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46364 (or 46358 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 34212055120 its reverse (2155021243), we get a palindrome (36367076363).

The spelling of 34212055120 in words is "thirty-four billion, two hundred twelve million, fifty-five thousand, one hundred twenty".