12191205742240 has 192 divisors, whose sum is σ = 33751957236480. Its totient is φ = 4074934026240.

The previous prime is 12191205742237. The next prime is 12191205742267. The reversal of 12191205742240 is 4224750219121.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12191205742193 and 12191205742202.

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 31 ways as a sum of consecutive naturals, for example, 6930591 + ... + 8509729.

It is an arithmetic number, because the mean of its divisors is an integer number (175791443940).

Almost surely, 2^{12191205742240} is an apocalyptic number.

12191205742240 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 12191205742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16875978618240).

12191205742240 is an abundant number, since it is smaller than the sum of its proper divisors (21560751494240).

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

12191205742240 is a wasteful number, since it uses less digits than its factorization.

12191205742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579335 (or 1579327 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 12191205742240 in words is "twelve trillion, one hundred ninety-one billion, two hundred five million, seven hundred forty-two thousand, two hundred forty".