12642058000 has 160 divisors (see below), whose sum is σ = 35913451392. Its totient is φ = 4243392000.

The previous prime is 12642057977. The next prime is 12642058003. The reversal of 12642058000 is 85024621.

12642058000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12642058000.

It is not an unprimeable number, because it can be changed into a prime (12642058003) 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 31 ways as a sum of consecutive naturals, for example, 263899 + ... + 308101.

Almost surely, 2^12642058000 is an apocalyptic number.

12642058000 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 12642058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956725696).

12642058000 is an abundant number, since it is smaller than the sum of its proper divisors (23271393392).

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

12642058000 is a wasteful number, since it uses less digits than its factorization.

12642058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44250 (or 44234 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 12642058000 in words is "twelve billion, six hundred forty-two million, fifty-eight thousand".