12263892480 has 1200 divisors, whose sum is σ = 54864586656. Its totient is φ = 2601123840.

The previous prime is 12263892479. The next prime is 12263892499. The reversal of 12263892480 is 8429836221.

12263892480 is a `hidden beast` number, since 1 + 2 + 2 + 638 + 9 + 2 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×12263892480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 172730845 + ... + 172730915.

Almost surely, 2^12263892480 is an apocalyptic number.

12263892480 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 12263892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432293328).

12263892480 is an abundant number, since it is smaller than the sum of its proper divisors (42600694176).

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

12263892480 is an equidigital number, since it uses as much as digits as its factorization.

12263892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12263892480 in words is "twelve billion, two hundred sixty-three million, eight hundred ninety-two thousand, four hundred eighty".