6004120214006 has 32 divisors (see below), whose sum is σ = 9325783065600. Its totient is φ = 2896135840800.

The previous prime is 6004120213963. The next prime is 6004120214039.

6004120214006 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×6004120214006³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93532301 + ... + 93596471.

It is an arithmetic number, because the mean of its divisors is an integer number (291430720800).

Almost surely, 2^{6004120214006} is an apocalyptic number.

6004120214006 is a deficient number, since it is larger than the sum of its proper divisors (3321662851594).

6004120214006 is a wasteful number, since it uses less digits than its factorization.

6004120214006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68900.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 6004120 and 214006, that added together give a palindrome (6218126).

The spelling of 6004120214006 in words is "six trillion, four billion, one hundred twenty million, two hundred fourteen thousand, six".