12264461527320 has 192 divisors, whose sum is σ = 40275703353600. Its totient is φ = 3236512231680.

The previous prime is 12264461527291. The next prime is 12264461527333. The reversal of 12264461527320 is 2372516446221.

12264461527320 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 4 + 4 + 615 + 2 + 7 + 3 + 20 = 666.

It is a super-2 number, since 2×12264461527320² (a number of 27 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16568239 + ... + 17292641.

It is an arithmetic number, because the mean of its divisors is an integer number (209769288300).

Almost surely, 2^{12264461527320} is an apocalyptic number.

12264461527320 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 12264461527320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20137851676800).

12264461527320 is an abundant number, since it is smaller than the sum of its proper divisors (28011241826280).

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

12264461527320 is a wasteful number, since it uses less digits than its factorization.

12264461527320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724910 (or 724903 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 12264461527320 in words is "twelve trillion, two hundred sixty-four billion, four hundred sixty-one million, five hundred twenty-seven thousand, three hundred twenty".