12225620736 has 216 divisors, whose sum is σ = 42057057840. Its totient is φ = 3492937728.

The previous prime is 12225620713. The next prime is 12225620779. The reversal of 12225620736 is 63702652221.

12225620736 is a `hidden beast` number, since 1 + 2 + 2 + 25 + 620 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12225620736.

It is an unprimeable number.

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, 320640 + ... + 356736.

Almost surely, 2^12225620736 is an apocalyptic number.

12225620736 is a gapful number since it is divisible by the number (16) 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 12225620736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21028528920).

12225620736 is an abundant number, since it is smaller than the sum of its proper divisors (29831437104).

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

12225620736 is an equidigital number, since it uses as much as digits as its factorization.

12225620736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36136 (or 36109 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12225620736 in words is "twelve billion, two hundred twenty-five million, six hundred twenty thousand, seven hundred thirty-six".