3120189072000 has 1536 divisors, whose sum is σ = 14137195887360. Its totient is φ = 598413312000.

The previous prime is 3120189071963. The next prime is 3120189072001. The reversal of 3120189072000 is 2709810213.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3120189072001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 336331362 + ... + 336340638.

Almost surely, 2^{3120189072000} is an apocalyptic number.

3120189072000 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 3120189072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068597943680).

3120189072000 is an abundant number, since it is smaller than the sum of its proper divisors (11017006815360).

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

3120189072000 is a wasteful number, since it uses less digits than its factorization.

3120189072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9347 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 3120189072000 in words is "three trillion, one hundred twenty billion, one hundred eighty-nine million, seventy-two thousand".