230120203221000 has 768 divisors, whose sum is σ = 815432227683840. Its totient is φ = 58422502195200.

The previous prime is 230120203220981. The next prime is 230120203221109. The reversal of 230120203221000 is 122302021032.

230120203221000 is a `hidden beast` number, since 2 + 301 + 20 + 20 + 322 + 1 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×230120203221000³ (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, 50990514744 + ... + 50990519256.

It is an arithmetic number, because the mean of its divisors is an integer number (1061760713130).

Almost surely, 2^{230120203221000} is an apocalyptic number.

230120203221000 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 230120203221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407716113841920).

230120203221000 is an abundant number, since it is smaller than the sum of its proper divisors (585312024462840).

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

230120203221000 is a wasteful number, since it uses less digits than its factorization.

230120203221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5646 counting only the distinct ones).

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

Adding to 230120203221000 its reverse (122302021032), we get a palindrome (230242505242032).

The spelling of 230120203221000 in words is "two hundred thirty trillion, one hundred twenty billion, two hundred three million, two hundred twenty-one thousand".