12263996160 has 576 divisors, whose sum is σ = 47587263360. Its totient is φ = 3009871872.

The previous prime is 12263996153. The next prime is 12263996161. The reversal of 12263996160 is 6169936221.

12263996160 is a `hidden beast` number, since 1 + 2 + 2 + 639 + 9 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12263996161) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 36391512 + ... + 36391848.

Almost surely, 2^12263996160 is an apocalyptic number.

12263996160 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 12263996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23793631680).

12263996160 is an abundant number, since it is smaller than the sum of its proper divisors (35323267200).

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

12263996160 is an frugal number, since it uses more digits than its factorization.

12263996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 12263996160 in words is "twelve billion, two hundred sixty-three million, nine hundred ninety-six thousand, one hundred sixty".