230042133200 has 120 divisors (see below), whose sum is σ = 605555006880. Its totient is φ = 83286028800.

The previous prime is 230042133199. The next prime is 230042133229. The reversal of 230042133200 is 2331240032.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 893447 + ... + 1121753.

It is an arithmetic number, because the mean of its divisors is an integer number (5046291724).

Almost surely, 2^230042133200 is an apocalyptic number.

230042133200 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 230042133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302777503440).

230042133200 is an abundant number, since it is smaller than the sum of its proper divisors (375512873680).

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

230042133200 is a wasteful number, since it uses less digits than its factorization.

230042133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228565 (or 228554 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 230042133200 its reverse (2331240032), we get a palindrome (232373373232).

The spelling of 230042133200 in words is "two hundred thirty billion, forty-two million, one hundred thirty-three thousand, two hundred".