230020123200 has 336 divisors, whose sum is σ = 867777792000. Its totient is φ = 52252231680.

The previous prime is 230020123171. The next prime is 230020123217. The reversal of 230020123200 is 2321020032.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230020123200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5455801 + ... + 5497799.

It is an arithmetic number, because the mean of its divisors is an integer number (2582672000).

Almost surely, 2^230020123200 is an apocalyptic number.

230020123200 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 230020123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433888896000).

230020123200 is an abundant number, since it is smaller than the sum of its proper divisors (637757668800).

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

230020123200 is a wasteful number, since it uses less digits than its factorization.

230020123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42194 (or 42179 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 230020123200 its reverse (2321020032), we get a palindrome (232341143232).

It can be divided in two parts, 230020 and 123200, that added together give a triangular number (353220 = T₈₄₀).

The spelling of 230020123200 in words is "two hundred thirty billion, twenty million, one hundred twenty-three thousand, two hundred".