230303121300120 has 512 divisors, whose sum is σ = 769908372710400. Its totient is φ = 54641633894400.

The previous prime is 230303121300101. The next prime is 230303121300137. The reversal of 230303121300120 is 21003121303032.

It is a super-2 number, since 2×230303121300120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15547357834 + ... + 15547372646.

It is an arithmetic number, because the mean of its divisors is an integer number (1503727290450).

Almost surely, 2^{230303121300120} is an apocalyptic number.

230303121300120 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 230303121300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384954186355200).

230303121300120 is an abundant number, since it is smaller than the sum of its proper divisors (539605251410280).

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

230303121300120 is a wasteful number, since it uses less digits than its factorization.

230303121300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15851 (or 15847 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 230303121300120 its reverse (21003121303032), we get a palindrome (251306242603152).

The spelling of 230303121300120 in words is "two hundred thirty trillion, three hundred three billion, one hundred twenty-one million, three hundred thousand, one hundred twenty".