230010023311200 has 432 divisors, whose sum is σ = 885328038504000. Its totient is φ = 55727153740800.

The previous prime is 230010023311181. The next prime is 230010023311291. The reversal of 230010023311200 is 2113320010032.

230010023311200 is a `hidden beast` number, since 2 + 30 + 0 + 100 + 2 + 331 + 1 + 200 = 666.

It is a super-2 number, since 2×230010023311200² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133706131 + ... + 135415469.

It is an arithmetic number, because the mean of its divisors is an integer number (2049370459500).

Almost surely, 2^{230010023311200} is an apocalyptic number.

230010023311200 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 230010023311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442664019252000).

230010023311200 is an abundant number, since it is smaller than the sum of its proper divisors (655318015192800).

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

230010023311200 is a wasteful number, since it uses less digits than its factorization.

230010023311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711075 (or 1711059 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230010023311200 its reverse (2113320010032), we get a palindrome (232123343321232).

The spelling of 230010023311200 in words is "two hundred thirty trillion, ten billion, twenty-three million, three hundred eleven thousand, two hundred".