230020113120000 has 720 divisors, whose sum is σ = 892878005978112. Its totient is φ = 51457351680000.

The previous prime is 230020113119999. The next prime is 230020113120011. The reversal of 230020113120000 is 21311020032.

It is a super-2 number, since 2×230020113120000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 157191720 + ... + 158648280.

Almost surely, 2^{230020113120000} is an apocalyptic number.

230020113120000 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 230020113120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446439002989056).

230020113120000 is an abundant number, since it is smaller than the sum of its proper divisors (662857892858112).

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

230020113120000 is an equidigital number, since it uses as much as digits as its factorization.

230020113120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456654 (or 1456625 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 230020113120000 its reverse (21311020032), we get a palindrome (230041424140032).

The spelling of 230020113120000 in words is "two hundred thirty trillion, twenty billion, one hundred thirteen million, one hundred twenty thousand".