3001123221300 has 576 divisors, whose sum is σ = 10013209113600. Its totient is φ = 770755392000.

The previous prime is 3001123221293. The next prime is 3001123221329. The reversal of 3001123221300 is 31223211003.

3001123221300 is a `hidden beast` number, since 30 + 0 + 1 + 12 + 322 + 1 + 300 = 666.

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

It is a congruent number.

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, 1516483711 + ... + 1516485689.

It is an arithmetic number, because the mean of its divisors is an integer number (17384043600).

Almost surely, 2^{3001123221300} is an apocalyptic number.

3001123221300 is a gapful number since it is divisible by the number (30) 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 3001123221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006604556800).

3001123221300 is an abundant number, since it is smaller than the sum of its proper divisors (7012085892300).

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

3001123221300 is a wasteful number, since it uses less digits than its factorization.

3001123221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2240 counting only the distinct ones).

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

Adding to 3001123221300 its reverse (31223211003), we get a palindrome (3032346432303).

The spelling of 3001123221300 in words is "three trillion, one billion, one hundred twenty-three million, two hundred twenty-one thousand, three hundred".