12266481024 has 512 divisors, whose sum is σ = 43182720000. Its totient is φ = 3355361280.

The previous prime is 12266481023. The next prime is 12266481037. The reversal of 12266481024 is 42018466221.

12266481024 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 648 + 1 + 0 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12266481024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12266481023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82325302 + ... + 82325450.

It is an arithmetic number, because the mean of its divisors is an integer number (84341250).

Almost surely, 2^12266481024 is an apocalyptic number.

12266481024 is a gapful number since it is divisible by the number (14) 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 12266481024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591360000).

12266481024 is an abundant number, since it is smaller than the sum of its proper divisors (30916238976).

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

12266481024 is a wasteful number, since it uses less digits than its factorization.

12266481024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12266481024 in words is "twelve billion, two hundred sixty-six million, four hundred eighty-one thousand, twenty-four".