12191154638880 has 768 divisors, whose sum is σ = 47219977728000. Its totient is φ = 2584758435840.

The previous prime is 12191154638843. The next prime is 12191154638983. The reversal of 12191154638880 is 8883645119121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12191154638880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 255561271 + ... + 255608969.

It is an arithmetic number, because the mean of its divisors is an integer number (61484346000).

Almost surely, 2^{12191154638880} is an apocalyptic number.

12191154638880 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 12191154638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23609988864000).

12191154638880 is an abundant number, since it is smaller than the sum of its proper divisors (35028823089120).

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

12191154638880 is a wasteful number, since it uses less digits than its factorization.

12191154638880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47857 (or 47849 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 57.

The spelling of 12191154638880 in words is "twelve trillion, one hundred ninety-one billion, one hundred fifty-four million, six hundred thirty-eight thousand, eight hundred eighty".