3005113200000 has 192 divisors, whose sum is σ = 9977280319440. Its totient is φ = 801363200000.

The previous prime is 3005113199971. The next prime is 3005113200029. The reversal of 3005113200000 is 23115003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3005113199971) and next prime (3005113200029).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 52131 + ... + 2452130.

Almost surely, 2^{3005113200000} is an apocalyptic number.

3005113200000 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 3005113200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988640159720).

3005113200000 is an abundant number, since it is smaller than the sum of its proper divisors (6972167119440).

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

3005113200000 is an frugal number, since it uses more digits than its factorization.

3005113200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504303 (or 2504271 counting only the distinct ones).

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

Adding to 3005113200000 its reverse (23115003), we get a palindrome (3005136315003).

The spelling of 3005113200000 in words is "three trillion, five billion, one hundred thirteen million, two hundred thousand".