3011148240000 has 320 divisors, whose sum is σ = 10238561736480. Its totient is φ = 783385600000.

The previous prime is 3011148239993. The next prime is 3011148240013. The reversal of 3011148240000 is 428411103.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9686995 + ... + 9993005.

Almost surely, 2^{3011148240000} is an apocalyptic number.

3011148240000 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 3011148240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119280868240).

3011148240000 is an abundant number, since it is smaller than the sum of its proper divisors (7227413496480).

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

3011148240000 is an equidigital number, since it uses as much as digits as its factorization.

3011148240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306089 (or 306062 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 3011148240000 in words is "three trillion, eleven billion, one hundred forty-eight million, two hundred forty thousand".