3001110132000 has 192 divisors, whose sum is σ = 9836562153600. Its totient is φ = 799895116800.

The previous prime is 3001110131983. The next prime is 3001110132047. The reversal of 3001110132000 is 2310111003.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24286371 + ... + 24409629.

It is an arithmetic number, because the mean of its divisors is an integer number (51232094550).

Almost surely, 2^{3001110132000} is an apocalyptic number.

3001110132000 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 3001110132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4918281076800).

3001110132000 is an abundant number, since it is smaller than the sum of its proper divisors (6835452021600).

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

3001110132000 is a wasteful number, since it uses less digits than its factorization.

3001110132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125316 (or 125298 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 3001110132000 its reverse (2310111003), we get a palindrome (3003420243003).

The spelling of 3001110132000 in words is "three trillion, one billion, one hundred ten million, one hundred thirty-two thousand".