12064651920 has 800 divisors, whose sum is σ = 47532672000. Its totient is φ = 2821754880.

The previous prime is 12064651913. The next prime is 12064651931. The reversal of 12064651920 is 2915646021.

12064651920 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 465 + 192 + 0 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 110684826 + ... + 110684934.

It is an arithmetic number, because the mean of its divisors is an integer number (59415840).

Almost surely, 2^12064651920 is an apocalyptic number.

12064651920 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 12064651920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23766336000).

12064651920 is an abundant number, since it is smaller than the sum of its proper divisors (35468020080).

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

12064651920 is a wasteful number, since it uses less digits than its factorization.

12064651920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12064651920 in words is "twelve billion, sixty-four million, six hundred fifty-one thousand, nine hundred twenty".