12058443600 has 480 divisors, whose sum is σ = 46497024000. Its totient is φ = 2612951040.

The previous prime is 12058443589. The next prime is 12058443601. The reversal of 12058443600 is 634485021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12058443601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14371981 + ... + 14372819.

It is an arithmetic number, because the mean of its divisors is an integer number (96868800).

Almost surely, 2^12058443600 is an apocalyptic number.

12058443600 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 12058443600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23248512000).

12058443600 is an abundant number, since it is smaller than the sum of its proper divisors (34438580400).

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

12058443600 is a wasteful number, since it uses less digits than its factorization.

12058443600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 12058443600 in words is "twelve billion, fifty-eight million, four hundred forty-three thousand, six hundred".