230400311231000 has 256 divisors, whose sum is σ = 548034876380160. Its totient is φ = 90646411161600.

The previous prime is 230400311230993. The next prime is 230400311231003. The reversal of 230400311231000 is 132113004032.

It is a super-2 number, since 2×230400311231000² (a number of 30 digits) contains 22 as substring.

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 (230400311231003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55827550937 + ... + 55827555063.

It is an arithmetic number, because the mean of its divisors is an integer number (2140761235860).

Almost surely, 2^{230400311231000} is an apocalyptic number.

230400311231000 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 230400311231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274017438190080).

230400311231000 is an abundant number, since it is smaller than the sum of its proper divisors (317634565149160).

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

230400311231000 is a wasteful number, since it uses less digits than its factorization.

230400311231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6151 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 230400311231000 its reverse (132113004032), we get a palindrome (230532424235032).

The spelling of 230400311231000 in words is "two hundred thirty trillion, four hundred billion, three hundred eleven million, two hundred thirty-one thousand".