34123120 has 40 divisors (see below), whose sum is σ = 80436816. Its totient is φ = 13459968.

The previous prime is 34123093. The next prime is 34123151. The reversal of 34123120 is 2132143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 34123094 and 34123103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2919 + ... + 8761.

Almost surely, 2^34123120 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 34123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40218408).

34123120 is an abundant number, since it is smaller than the sum of its proper divisors (46313696).

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

34123120 is a wasteful number, since it uses less digits than its factorization.

34123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34123120 is about 5841.4998074125. The cubic root of 34123120 is about 324.3517492675.

Adding to 34123120 its reverse (2132143), we get a palindrome (36255263).

It can be divided in two parts, 34123 and 120, that added together give a palindrome (34243).

The spelling of 34123120 in words is "thirty-four million, one hundred twenty-three thousand, one hundred twenty".