230302121301000 has 768 divisors, whose sum is σ = 936936486720000. Its totient is φ = 49843840665600.

The previous prime is 230302121300989. The next prime is 230302121301029. The reversal of 230302121301000 is 103121203032.

230302121301000 is a `hidden beast` number, since 230 + 302 + 1 + 2 + 1 + 30 + 100 + 0 = 666.

It is a super-3 number, since 3×230302121301000³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2332903642 + ... + 2333002358.

It is an arithmetic number, because the mean of its divisors is an integer number (1219969383750).

Almost surely, 2^{230302121301000} is an apocalyptic number.

230302121301000 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 230302121301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468468243360000).

230302121301000 is an abundant number, since it is smaller than the sum of its proper divisors (706634365419000).

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

230302121301000 is a wasteful number, since it uses less digits than its factorization.

230302121301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100719 (or 100702 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230302121301000 its reverse (103121203032), we get a palindrome (230405242504032).

The spelling of 230302121301000 in words is "two hundred thirty trillion, three hundred two billion, one hundred twenty-one million, three hundred one thousand".