12058464000 has 576 divisors, whose sum is σ = 46069470720. Its totient is φ = 2764800000.

The previous prime is 12058463983. The next prime is 12058464001. The reversal of 12058464000 is 46485021.

12058464000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12058464001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20063700 + ... + 20064300.

It is an arithmetic number, because the mean of its divisors is an integer number (79981720).

Almost surely, 2^12058464000 is an apocalyptic number.

12058464000 is a gapful number since it is divisible by the number (10) 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 12058464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23034735360).

12058464000 is an abundant number, since it is smaller than the sum of its proper divisors (34011006720).

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

12058464000 is a wasteful number, since it uses less digits than its factorization.

12058464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 12058464000 in words is "twelve billion, fifty-eight million, four hundred sixty-four thousand".