230400120000024 has 48 divisors (see below), whose sum is σ = 672000350002800. Its totient is φ = 70892344615104.

The previous prime is 230400120000019. The next prime is 230400120000047. The reversal of 230400120000024 is 420000021004032.

230400120000024 is a `hidden beast` number, since 230 + 400 + 12 + 0 + 0 + 0 + 0 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230400119999961 and 230400120000006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123076986244 + ... + 123076988115.

It is an arithmetic number, because the mean of its divisors is an integer number (14000007291725).

Almost surely, 2^{230400120000024} is an apocalyptic number.

230400120000024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230400120000024 is an abundant number, since it is smaller than the sum of its proper divisors (441600230002776).

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

230400120000024 is a wasteful number, since it uses less digits than its factorization.

230400120000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246153974384 (or 246153974377 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 230400120000024 its reverse (420000021004032), we get a palindrome (650400141004056).

The spelling of 230400120000024 in words is "two hundred thirty trillion, four hundred billion, one hundred twenty million, twenty-four", and thus it is an aban number.