12491182080 has 468 divisors, whose sum is σ = 47001170268. Its totient is φ = 3067084800.

The previous prime is 12491182073. The next prime is 12491182087. The reversal of 12491182080 is 8028119421.

It is a happy number.

12491182080 is a `hidden beast` number, since 12 + 491 + 1 + 82 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12491182073) and next prime (12491182087).

It can be written as a sum of positive squares in 6 ways, for example, as 175509504 + 12315672576 = 13248^2 + 110976^2 .

It is a tau number, because it is divible by the number of its divisors (468).

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 (12491182087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31149880 + ... + 31150280.

It is an arithmetic number, because the mean of its divisors is an integer number (100429851).

Almost surely, 2^12491182080 is an apocalyptic number.

12491182080 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 12491182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23500585134).

12491182080 is an abundant number, since it is smaller than the sum of its proper divisors (34509988188).

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

12491182080 is a wasteful number, since it uses less digits than its factorization.

12491182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 12491182080 in words is "twelve billion, four hundred ninety-one million, one hundred eighty-two thousand, eighty".