12268333440 has 1024 divisors, whose sum is σ = 51701760000. Its totient is φ = 2717245440.

The previous prime is 12268333439. The next prime is 12268333453. The reversal of 12268333440 is 4433386221.

12268333440 is a `hidden beast` number, since 122 + 68 + 3 + 33 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12268333395 and 12268333404.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 155295321 + ... + 155295399.

It is an arithmetic number, because the mean of its divisors is an integer number (50490000).

Almost surely, 2^12268333440 is an apocalyptic number.

12268333440 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 12268333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25850880000).

12268333440 is an abundant number, since it is smaller than the sum of its proper divisors (39433426560).

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

12268333440 is a wasteful number, since it uses less digits than its factorization.

12268333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 12268333440 in words is "twelve billion, two hundred sixty-eight million, three hundred thirty-three thousand, four hundred forty".