12263879160 has 192 divisors, whose sum is σ = 43199563680. Its totient is φ = 2999393280.

The previous prime is 12263879143. The next prime is 12263879167. The reversal of 12263879160 is 6197836221.

12263879160 is a `hidden beast` number, since 1 + 2 + 2 + 638 + 7 + 9 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12263879167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726415 + ... + 743105.

Almost surely, 2^12263879160 is an apocalyptic number.

12263879160 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 12263879160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21599781840).

12263879160 is an abundant number, since it is smaller than the sum of its proper divisors (30935684520).

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

12263879160 is a wasteful number, since it uses less digits than its factorization.

12263879160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16878 (or 16871 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12263879160 in words is "twelve billion, two hundred sixty-three million, eight hundred seventy-nine thousand, one hundred sixty".