12070586304 has 840 divisors, whose sum is σ = 45617861520. Its totient is φ = 3135283200.

The previous prime is 12070586299. The next prime is 12070586309. The reversal of 12070586304 is 40368507021.

12070586304 is a `hidden beast` number, since 1 + 2 + 0 + 70 + 586 + 3 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12070586299) and next prime (12070586309).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12070586309) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 197878434 + ... + 197878494.

It is an arithmetic number, because the mean of its divisors is an integer number (54306978).

Almost surely, 2^12070586304 is an apocalyptic number.

12070586304 is a gapful number since it is divisible by the number (14) 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 12070586304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22808930760).

12070586304 is an abundant number, since it is smaller than the sum of its proper divisors (33547275216).

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

12070586304 is a wasteful number, since it uses less digits than its factorization.

12070586304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12070586304 in words is "twelve billion, seventy million, five hundred eighty-six thousand, three hundred four".