12259124064 has 384 divisors, whose sum is σ = 42493248000. Its totient is φ = 3396556800.

The previous prime is 12259124051. The next prime is 12259124089. The reversal of 12259124064 is 46042195221.

It is a happy number.

12259124064 is a `hidden beast` number, since 1 + 2 + 2 + 591 + 2 + 4 + 0 + 64 = 666.

12259124064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12259124064² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5235534 + ... + 5237874.

It is an arithmetic number, because the mean of its divisors is an integer number (110659500).

Almost surely, 2^12259124064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12259124064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21246624000).

12259124064 is an abundant number, since it is smaller than the sum of its proper divisors (30234123936).

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

12259124064 is a wasteful number, since it uses less digits than its factorization.

12259124064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2405 counting only the distinct ones).

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

The spelling of 12259124064 in words is "twelve billion, two hundred fifty-nine million, one hundred twenty-four thousand, sixty-four".