230200010001220 has 288 divisors, whose sum is σ = 567891886464000. Its totient is φ = 78151567785984.

The previous prime is 230200010001191. The next prime is 230200010001271. The reversal of 230200010001220 is 22100010002032.

It is a self number, because there is not a number n which added to its sum of digits gives 230200010001220.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52834519282 + ... + 52834523638.

It is an arithmetic number, because the mean of its divisors is an integer number (1971846828000).

Almost surely, 2^{230200010001220} is an apocalyptic number.

230200010001220 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 230200010001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283945943232000).

230200010001220 is an abundant number, since it is smaller than the sum of its proper divisors (337691876462780).

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

230200010001220 is a wasteful number, since it uses less digits than its factorization.

230200010001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 230200010001220 its reverse (22100010002032), we get a palindrome (252300020003252).

The spelling of 230200010001220 in words is "two hundred thirty trillion, two hundred billion, ten million, one thousand, two hundred twenty".