3001144100000 has 144 divisors (see below), whose sum is σ = 7623394071552. Its totient is φ = 1161732000000.

The previous prime is 3001144099999. The next prime is 3001144100021. The reversal of 3001144100000 is 14411003.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2615945 + ... + 3584055.

It is an arithmetic number, because the mean of its divisors is an integer number (52940236608).

Almost surely, 2^{3001144100000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001144100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811697035776).

3001144100000 is an abundant number, since it is smaller than the sum of its proper divisors (4622249971552).

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

3001144100000 is an frugal number, since it uses more digits than its factorization.

3001144100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968177 (or 968149 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 3001144100000 its reverse (14411003), we get a palindrome (3001158511003).

The spelling of 3001144100000 in words is "three trillion, one billion, one hundred forty-four million, one hundred thousand".