3001001001120 has 144 divisors (see below), whose sum is σ = 10243107437472. Its totient is φ = 800095680000.

The previous prime is 3001001001113. The next prime is 3001001001121. The reversal of 3001001001120 is 211001001003.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3001001001121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6580495 + ... + 7021745.

It is an arithmetic number, because the mean of its divisors is an integer number (71132690538).

Almost surely, 2^{3001001001120} is an apocalyptic number.

3001001001120 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 3001001001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121553718736).

3001001001120 is an abundant number, since it is smaller than the sum of its proper divisors (7242106436352).

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

3001001001120 is a wasteful number, since it uses less digits than its factorization.

3001001001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445995 (or 445984 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 3001001001120 its reverse (211001001003), we get a palindrome (3212002002123).

The spelling of 3001001001120 in words is "three trillion, one billion, one million, one thousand, one hundred twenty".