3001341120000 has 200 divisors, whose sum is σ = 9991505301096. Its totient is φ = 800357376000.

The previous prime is 3001341119981. The next prime is 3001341120031. The reversal of 3001341120000 is 211431003.

3001341120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 603199 + ... + 2523198.

Almost surely, 2^{3001341120000} is an apocalyptic number.

3001341120000 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 3001341120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995752650548).

3001341120000 is an abundant number, since it is smaller than the sum of its proper divisors (6990164181096).

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

3001341120000 is an frugal number, since it uses more digits than its factorization.

3001341120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126438 (or 3126407 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3001341120000 its reverse (211431003), we get a palindrome (3001552551003).

The spelling of 3001341120000 in words is "three trillion, one billion, three hundred forty-one million, one hundred twenty thousand".