234042124300 has 72 divisors (see below), whose sum is σ = 520573306176. Its totient is φ = 91282954560.

The previous prime is 234042124297. The next prime is 234042124301. The reversal of 234042124300 is 3421240432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (234042124301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2477739 + ... + 2570461.

It is an arithmetic number, because the mean of its divisors is an integer number (7230184808).

Almost surely, 2^234042124300 is an apocalyptic number.

234042124300 is a gapful number since it is divisible by the number (20) 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 234042124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260286653088).

234042124300 is an abundant number, since it is smaller than the sum of its proper divisors (286531181876).

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

234042124300 is a wasteful number, since it uses less digits than its factorization.

234042124300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93367 (or 93360 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 234042124300 its reverse (3421240432), we get a palindrome (237463364732).

The spelling of 234042124300 in words is "two hundred thirty-four billion, forty-two million, one hundred twenty-four thousand, three hundred".