12058316640 has 192 divisors, whose sum is σ = 42372227520. Its totient is φ = 3202744320.

The previous prime is 12058316639. The next prime is 12058316659. The reversal of 12058316640 is 4661385021.

It is a happy number.

12058316640 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 8 + 3 + 1 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12058316595 and 12058316604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104810 + ... + 1115670.

It is an arithmetic number, because the mean of its divisors is an integer number (220688685).

Almost surely, 2^12058316640 is an apocalyptic number.

12058316640 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 12058316640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21186113760).

12058316640 is an abundant number, since it is smaller than the sum of its proper divisors (30313910880).

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

12058316640 is a wasteful number, since it uses less digits than its factorization.

12058316640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12058316640 in words is "twelve billion, fifty-eight million, three hundred sixteen thousand, six hundred forty".