12361264128 has 264 divisors, whose sum is σ = 38063097072. Its totient is φ = 3850371072.

The previous prime is 12361264121. The next prime is 12361264151. The reversal of 12361264128 is 82146216321.

It is a happy number.

12361264128 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 1 + 2 + 641 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12361264092 and 12361264101.

It is not an unprimeable number, because it can be changed into a prime (12361264121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40264551 + ... + 40264857.

It is an arithmetic number, because the mean of its divisors is an integer number (144178398).

Almost surely, 2^12361264128 is an apocalyptic number.

12361264128 is a gapful number since it is divisible by the number (18) 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 12361264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19031548536).

12361264128 is an abundant number, since it is smaller than the sum of its proper divisors (25701832944).

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

12361264128 is a wasteful number, since it uses less digits than its factorization.

12361264128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 586 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 12361264128 in words is "twelve billion, three hundred sixty-one million, two hundred sixty-four thousand, one hundred twenty-eight".