12073697280 has 432 divisors, whose sum is σ = 44165852640. Its totient is φ = 3045064704.

The previous prime is 12073697267. The next prime is 12073697287. The reversal of 12073697280 is 8279637021.

12073697280 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 369 + 7 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073697287) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 135659476 + ... + 135659564.

It is an arithmetic number, because the mean of its divisors is an integer number (102235770).

Almost surely, 2^12073697280 is an apocalyptic number.

12073697280 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 12073697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22082926320).

12073697280 is an abundant number, since it is smaller than the sum of its proper divisors (32092155360).

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

12073697280 is an frugal number, since it uses more digits than its factorization.

12073697280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12073697280 in words is "twelve billion, seventy-three million, six hundred ninety-seven thousand, two hundred eighty".