34122120 has 64 divisors (see below), whose sum is σ = 102997440. Its totient is φ = 9043200.

The previous prime is 34122107. The next prime is 34122131. The reversal of 34122120 is 2122143.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34122120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20935 + ... + 22505.

It is an arithmetic number, because the mean of its divisors is an integer number (1609335).

Almost surely, 2^34122120 is an apocalyptic number.

34122120 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 34122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51498720).

34122120 is an abundant number, since it is smaller than the sum of its proper divisors (68875320).

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

34122120 is a wasteful number, since it uses less digits than its factorization.

34122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34122120 is about 5841.4142123291. The cubic root of 34122120 is about 324.3485807909.

Adding to 34122120 its reverse (2122143), we get a palindrome (36244263).

The spelling of 34122120 in words is "thirty-four million, one hundred twenty-two thousand, one hundred twenty".