12191156467200 has 960 divisors, whose sum is σ = 45435341952000. Its totient is φ = 3201372979200.

The previous prime is 12191156467199. The next prime is 12191156467207. The reversal of 12191156467200 is 276465119121.

12191156467200 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 1 + 1 + 564 + 67 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (12191156467207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7083762340 + ... + 7083764060.

It is an arithmetic number, because the mean of its divisors is an integer number (47328481200).

Almost surely, 2^{12191156467200} is an apocalyptic number.

12191156467200 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 12191156467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22717670976000).

12191156467200 is an abundant number, since it is smaller than the sum of its proper divisors (33244185484800).

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

12191156467200 is a wasteful number, since it uses less digits than its factorization.

12191156467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12191156467200 in words is "twelve trillion, one hundred ninety-one billion, one hundred fifty-six million, four hundred sixty-seven thousand, two hundred".