12264365520 has 480 divisors, whose sum is σ = 47225977344. Its totient is φ = 2933107200.

The previous prime is 12264365513. The next prime is 12264365521. The reversal of 12264365520 is 2556346221.

12264365520 is a `hidden beast` number, since 1 + 2 + 2 + 643 + 6 + 5 + 5 + 2 + 0 = 666.

12264365520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12264365521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17748375 + ... + 17749065.

Almost surely, 2^12264365520 is an apocalyptic number.

12264365520 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 12264365520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23612988672).

12264365520 is an abundant number, since it is smaller than the sum of its proper divisors (34961611824).

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

12264365520 is a wasteful number, since it uses less digits than its factorization.

12264365520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 12264365520 in words is "twelve billion, two hundred sixty-four million, three hundred sixty-five thousand, five hundred twenty".