230120130000 has 400 divisors, whose sum is σ = 770103488000. Its totient is φ = 59132160000.

The previous prime is 230120129983. The next prime is 230120130043. The reversal of 230120130000 is 31021032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 324569646 + ... + 324570354.

It is an arithmetic number, because the mean of its divisors is an integer number (1925258720).

Almost surely, 2^230120130000 is an apocalyptic number.

230120130000 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 230120130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385051744000).

230120130000 is an abundant number, since it is smaller than the sum of its proper divisors (539983358000).

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

230120130000 is a wasteful number, since it uses less digits than its factorization.

230120130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 230120130000 its reverse (31021032), we get a palindrome (230151151032).

The spelling of 230120130000 in words is "two hundred thirty billion, one hundred twenty million, one hundred thirty thousand".