12416094720 has 280 divisors, whose sum is σ = 44640581436. Its totient is φ = 3310460928.

The previous prime is 12416094709. The next prime is 12416094737. The reversal of 12416094720 is 2749061421.

It is a happy number.

12416094720 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 609 + 47 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10660149504 + 1755945216 = 103248^2 + 41904^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1862914 + ... + 1869566.

Almost surely, 2^12416094720 is an apocalyptic number.

12416094720 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 12416094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320290718).

12416094720 is an abundant number, since it is smaller than the sum of its proper divisors (32224486716).

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

12416094720 is an frugal number, since it uses more digits than its factorization.

12416094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

It can be divided in two parts, 1241 and 6094720, that added together give a square (6095961 = 2469²).

The spelling of 12416094720 in words is "twelve billion, four hundred sixteen million, ninety-four thousand, seven hundred twenty".