230031022221000 has 1152 divisors, whose sum is σ = 1049658975555840. Its totient is φ = 44121811968000.

The previous prime is 230031022220983. The next prime is 230031022221023. The reversal of 230031022221000 is 122220130032.

230031022221000 is a `hidden beast` number, since 2 + 30 + 0 + 310 + 2 + 222 + 100 + 0 = 666.

230031022221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 116134944 + ... + 118099056.

It is an arithmetic number, because the mean of its divisors is an integer number (911162305170).

Almost surely, 2^{230031022221000} is an apocalyptic number.

230031022221000 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 230031022221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524829487777920).

230031022221000 is an abundant number, since it is smaller than the sum of its proper divisors (819627953334840).

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

230031022221000 is a wasteful number, since it uses less digits than its factorization.

230031022221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964184 (or 1964154 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230031022221000 its reverse (122220130032), we get a palindrome (230153242351032).

The spelling of 230031022221000 in words is "two hundred thirty trillion, thirty-one billion, twenty-two million, two hundred twenty-one thousand".