12264400512 has 576 divisors, whose sum is σ = 45923623200. Its totient is φ = 3229341696.

The previous prime is 12264400507. The next prime is 12264400529. The reversal of 12264400512 is 21500446221.

12264400512 is a `hidden beast` number, since 1 + 2 + 2 + 644 + 0 + 0 + 5 + 12 = 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19812939 + ... + 19813557.

Almost surely, 2^12264400512 is an apocalyptic number.

12264400512 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 12264400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22961811600).

12264400512 is an abundant number, since it is smaller than the sum of its proper divisors (33659222688).

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

12264400512 is an equidigital number, since it uses as much as digits as its factorization.

12264400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12264400512 its reverse (21500446221), we get a palindrome (33764846733).

The spelling of 12264400512 in words is "twelve billion, two hundred sixty-four million, four hundred thousand, five hundred twelve".