34204212120 has 128 divisors (see below), whose sum is σ = 110576067840. Its totient is φ = 8414154240.

The previous prime is 34204212059. The next prime is 34204212193. The reversal of 34204212120 is 2121240243.

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 31 ways as a sum of consecutive naturals, for example, 2819107 + ... + 2831213.

It is an arithmetic number, because the mean of its divisors is an integer number (863875530).

Almost surely, 2^34204212120 is an apocalyptic number.

34204212120 is a gapful number since it is divisible by the number (30) 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 34204212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55288033920).

34204212120 is an abundant number, since it is smaller than the sum of its proper divisors (76371855720).

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

34204212120 is a wasteful number, since it uses less digits than its factorization.

34204212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13945 (or 13941 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34204212120 its reverse (2121240243), we get a palindrome (36325452363).

The spelling of 34204212120 in words is "thirty-four billion, two hundred four million, two hundred twelve thousand, one hundred twenty".