230203210320000 has 480 divisors, whose sum is σ = 841347451118460. Its totient is φ = 60381158400000.

The previous prime is 230203210319977. The next prime is 230203210320001. The reversal of 230203210320000 is 23012302032.

It is a happy number.

230203210320000 is a `hidden beast` number, since 2 + 3 + 0 + 20 + 321 + 0 + 320 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 13844293107264 + 216358917212736 = 3720792^2 + 14709144^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (230203210320001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41299290 + ... + 46540710.

Almost surely, 2^{230203210320000} is an apocalyptic number.

230203210320000 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 230203210320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420673725559230).

230203210320000 is an abundant number, since it is smaller than the sum of its proper divisors (611144240798460).

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

230203210320000 is an equidigital number, since it uses as much as digits as its factorization.

230203210320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241522 (or 5241492 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230203210320000 its reverse (23012302032), we get a palindrome (230226222622032).

The spelling of 230203210320000 in words is "two hundred thirty trillion, two hundred three billion, two hundred ten million, three hundred twenty thousand".