230433412000 has 384 divisors, whose sum is σ = 650723673600. Its totient is φ = 79377408000.

The previous prime is 230433411953. The next prime is 230433412049. The reversal of 230433412000 is 214334032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110306956 + ... + 110309044.

It is an arithmetic number, because the mean of its divisors is an integer number (1694592900).

Almost surely, 2^230433412000 is an apocalyptic number.

230433412000 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 230433412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325361836800).

230433412000 is an abundant number, since it is smaller than the sum of its proper divisors (420290261600).

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

230433412000 is a wasteful number, since it uses less digits than its factorization.

230433412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 230433412000 its reverse (214334032), we get a palindrome (230647746032).

The spelling of 230433412000 in words is "two hundred thirty billion, four hundred thirty-three million, four hundred twelve thousand".