230024011214000 has 320 divisors, whose sum is σ = 604445985361920. Its totient is φ = 84342850560000.

The previous prime is 230024011213993. The next prime is 230024011214009. The reversal of 230024011214000 is 412110420032.

It is a super-2 number, since 2×230024011214000² (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 not an unprimeable number, because it can be changed into a prime (230024011214009) 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 63 ways as a sum of consecutive naturals, for example, 13536389504 + ... + 13536406496.

It is an arithmetic number, because the mean of its divisors is an integer number (1888893704256).

Almost surely, 2^{230024011214000} is an apocalyptic number.

230024011214000 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 230024011214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302222992680960).

230024011214000 is an abundant number, since it is smaller than the sum of its proper divisors (374421974147920).

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

230024011214000 is a wasteful number, since it uses less digits than its factorization.

230024011214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28557 (or 28541 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 230024011214000 its reverse (412110420032), we get a palindrome (230436121634032).

The spelling of 230024011214000 in words is "two hundred thirty trillion, twenty-four billion, eleven million, two hundred fourteen thousand".