3011331120000 has 640 divisors, whose sum is σ = 11920086351360. Its totient is φ = 658369536000.

The previous prime is 3011331119989. The next prime is 3011331120011. The reversal of 3011331120000 is 211331103.

It is an interprime number because it is at equal distance from previous prime (3011331119989) and next prime (3011331120011).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3011331120000² (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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38601034 + ... + 38678966.

It is an arithmetic number, because the mean of its divisors is an integer number (18625134924).

Almost surely, 2^{3011331120000} is an apocalyptic number.

3011331120000 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 3011331120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960043175680).

3011331120000 is an abundant number, since it is smaller than the sum of its proper divisors (8908755231360).

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

3011331120000 is an equidigital number, since it uses as much as digits as its factorization.

3011331120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78000 (or 77973 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 3011331120000 its reverse (211331103), we get a palindrome (3011542451103).

The spelling of 3011331120000 in words is "three trillion, eleven billion, three hundred thirty-one million, one hundred twenty thousand".