23434113120 has 96 divisors (see below), whose sum is σ = 80528152320. Its totient is φ = 5680995840.

The previous prime is 23434113113. The next prime is 23434113127. The reversal of 23434113120 is 2131143432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23434113113) and next prime (23434113127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×23434113120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434113127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2213860 + ... + 2224419.

It is an arithmetic number, because the mean of its divisors is an integer number (838834920).

Almost surely, 2^23434113120 is an apocalyptic number.

23434113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23434113120 is an abundant number, since it is smaller than the sum of its proper divisors (57094039200).

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

23434113120 is a wasteful number, since it uses less digits than its factorization.

23434113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438308 (or 4438300 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23434113120 its reverse (2131143432), we get a palindrome (25565256552).

The spelling of 23434113120 in words is "twenty-three billion, four hundred thirty-four million, one hundred thirteen thousand, one hundred twenty".