230311221101220 has 192 divisors, whose sum is σ = 745350035189760. Its totient is φ = 52047909877248.

The previous prime is 230311221101189. The next prime is 230311221101323. The reversal of 230311221101220 is 22101122113032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15992937 + ... + 26765583.

It is an arithmetic number, because the mean of its divisors is an integer number (3882031433280).

Almost surely, 2^{230311221101220} is an apocalyptic number.

230311221101220 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 230311221101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372675017594880).

230311221101220 is an abundant number, since it is smaller than the sum of its proper divisors (515038814088540).

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

230311221101220 is a wasteful number, since it uses less digits than its factorization.

230311221101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10773242 (or 10773240 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 230311221101220 its reverse (22101122113032), we get a palindrome (252412343214252).

The spelling of 230311221101220 in words is "two hundred thirty trillion, three hundred eleven billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty".