230124224000 has 160 divisors (see below), whose sum is σ = 625997335392. Its totient is φ = 83681280000.

The previous prime is 230124223981. The next prime is 230124224009. The reversal of 230124224000 is 422421032.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230124224009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540560 + ... + 867440.

Almost surely, 2^230124224000 is an apocalyptic number.

230124224000 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 230124224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312998667696).

230124224000 is an abundant number, since it is smaller than the sum of its proper divisors (395873111392).

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

230124224000 is an equidigital number, since it uses as much as digits as its factorization.

230124224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326925 (or 326899 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 230124224000 its reverse (422421032), we get a palindrome (230546645032).

The spelling of 230124224000 in words is "two hundred thirty billion, one hundred twenty-four million, two hundred twenty-four thousand".