6012064512 has 144 divisors (see below), whose sum is σ = 18714864000. Its totient is φ = 1898505216.

The previous prime is 6012064511. The next prime is 6012064529. The reversal of 6012064512 is 2154602106.

6012064512 is a `hidden beast` number, since 6 + 0 + 1 + 2 + 0 + 645 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×6012064512³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6012064511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108439 + ... + 154217.

Almost surely, 2^6012064512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6012064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357432000).

6012064512 is an abundant number, since it is smaller than the sum of its proper divisors (12702799488).

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

6012064512 is a wasteful number, since it uses less digits than its factorization.

6012064512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45823 (or 45803 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6012064512 is about 77537.5039061743. The cubic root of 6012064512 is about 1818.3377037157.

Adding to 6012064512 its reverse (2154602106), we get a palindrome (8166666618).

The spelling of 6012064512 in words is "six billion, twelve million, sixty-four thousand, five hundred twelve".