3001221102000 has 320 divisors, whose sum is σ = 11014510740480. Its totient is φ = 695934976000.

The previous prime is 3001221101981. The next prime is 3001221102007. The reversal of 3001221102000 is 2011221003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3001221102007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 529456 + ... + 2506544.

It is an arithmetic number, because the mean of its divisors is an integer number (34420346064).

Almost surely, 2^{3001221102000} is an apocalyptic number.

3001221102000 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 3001221102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507255370240).

3001221102000 is an abundant number, since it is smaller than the sum of its proper divisors (8013289638480).

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

3001221102000 is a wasteful number, since it uses less digits than its factorization.

3001221102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977149 (or 1977133 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 3001221102000 its reverse (2011221003), we get a palindrome (3003232323003).

The spelling of 3001221102000 in words is "three trillion, one billion, two hundred twenty-one million, one hundred two thousand".