12611092320 has 288 divisors, whose sum is σ = 46150715520. Its totient is φ = 3124592640.

The previous prime is 12611092313. The next prime is 12611092381. The reversal of 12611092320 is 2329011621.

12611092320 is a `hidden beast` number, since 1 + 2 + 611 + 0 + 9 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1930660 + ... + 1937180.

It is an arithmetic number, because the mean of its divisors is an integer number (160245540).

Almost surely, 2^12611092320 is an apocalyptic number.

12611092320 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 12611092320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23075357760).

12611092320 is an abundant number, since it is smaller than the sum of its proper divisors (33539623200).

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

12611092320 is a wasteful number, since it uses less digits than its factorization.

12611092320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12611092320 in words is "twelve billion, six hundred eleven million, ninety-two thousand, three hundred twenty".