3120181248000 has 512 divisors, whose sum is σ = 10720074792960. Its totient is φ = 805109760000.

The previous prime is 3120181247999. The next prime is 3120181248013. The reversal of 3120181248000 is 8421810213.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380923905 + ... + 380932095.

It is an arithmetic number, because the mean of its divisors is an integer number (20937646080).

Almost surely, 2^{3120181248000} is an apocalyptic number.

3120181248000 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 3120181248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360037396480).

3120181248000 is an abundant number, since it is smaller than the sum of its proper divisors (7599893544960).

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

3120181248000 is an frugal number, since it uses more digits than its factorization.

3120181248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 3120181248000 in words is "three trillion, one hundred twenty billion, one hundred eighty-one million, two hundred forty-eight thousand".