12264417312 has 384 divisors, whose sum is σ = 39992279040. Its totient is φ = 3213665280.

The previous prime is 12264417311. The next prime is 12264417323. The reversal of 12264417312 is 21371446221.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12264417311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75241743 + ... + 75241905.

It is an arithmetic number, because the mean of its divisors is an integer number (104146560).

Almost surely, 2^12264417312 is an apocalyptic number.

12264417312 is a gapful number since it is divisible by the number (12) 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 12264417312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19996139520).

12264417312 is an abundant number, since it is smaller than the sum of its proper divisors (27727861728).

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

12264417312 is a wasteful number, since it uses less digits than its factorization.

12264417312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The spelling of 12264417312 in words is "twelve billion, two hundred sixty-four million, four hundred seventeen thousand, three hundred twelve".