12091293204480 has 2048 divisors, whose sum is σ = 52762868121600. Its totient is φ = 2564347133952.

The previous prime is 12091293204479. The next prime is 12091293204509. The reversal of 12091293204480 is 8440239219021.

12091293204480 is a `hidden beast` number, since 1 + 20 + 9 + 129 + 3 + 20 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54221045649 + ... + 54221045871.

It is an arithmetic number, because the mean of its divisors is an integer number (25763119200).

Almost surely, 2^{12091293204480} is an apocalyptic number.

12091293204480 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 12091293204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26381434060800).

12091293204480 is an abundant number, since it is smaller than the sum of its proper divisors (40671574917120).

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

12091293204480 is a wasteful number, since it uses less digits than its factorization.

12091293204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12091293204480 in words is "twelve trillion, ninety-one billion, two hundred ninety-three million, two hundred four thousand, four hundred eighty".