6004041912120 has 512 divisors, whose sum is σ = 20973949747200. Its totient is φ = 1346722578432.

The previous prime is 6004041912079. The next prime is 6004041912131. The reversal of 6004041912120 is 212191404006.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7931362782 + ... + 7931363538.

It is an arithmetic number, because the mean of its divisors is an integer number (40964745600).

Almost surely, 2^{6004041912120} is an apocalyptic number.

6004041912120 is a gapful number since it is divisible by the number (60) 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 6004041912120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486974873600).

6004041912120 is an abundant number, since it is smaller than the sum of its proper divisors (14969907835080).

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

6004041912120 is a wasteful number, since it uses less digits than its factorization.

6004041912120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 6004041912120 in words is "six trillion, four billion, forty-one million, nine hundred twelve thousand, one hundred twenty".