230507071200 has 216 divisors, whose sum is σ = 928943700048. Its totient is φ = 52687319040.

The previous prime is 230507071169. The next prime is 230507071229. The reversal of 230507071200 is 2170705032.

230507071200 is a `hidden beast` number, since 2 + 30 + 507 + 0 + 7 + 120 + 0 = 666.

230507071200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2236377 + ... + 2337176.

It is an arithmetic number, because the mean of its divisors is an integer number (4300665278).

Almost surely, 2^230507071200 is an apocalyptic number.

230507071200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230507071200 is an abundant number, since it is smaller than the sum of its proper divisors (698436628848).

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

230507071200 is a wasteful number, since it uses less digits than its factorization.

230507071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573586 (or 4573570 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

Adding to 230507071200 its reverse (2170705032), we get a palindrome (232677776232).

The spelling of 230507071200 in words is "two hundred thirty billion, five hundred seven million, seventy-one thousand, two hundred".