3005120310000 has 200 divisors, whose sum is σ = 9907336437504. Its totient is φ = 784314720000.

The previous prime is 3005120309993. The next prime is 3005120310029. The reversal of 3005120310000 is 130215003.

It is a happy number.

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

It is a super-2 number, since 2×3005120310000² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344355 + ... + 2475645.

Almost surely, 2^{3005120310000} is an apocalyptic number.

3005120310000 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 3005120310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953668218752).

3005120310000 is an abundant number, since it is smaller than the sum of its proper divisors (6902216127504).

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

3005120310000 is a wasteful number, since it uses less digits than its factorization.

3005120310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131369 (or 2131348 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 3005120310000 its reverse (130215003), we get a palindrome (3005250525003).

The spelling of 3005120310000 in words is "three trillion, five billion, one hundred twenty million, three hundred ten thousand".