11802221179200 has 252 divisors, whose sum is σ = 42478870632640. Its totient is φ = 3107419960320.

The previous prime is 11802221179163. The next prime is 11802221179201. The reversal of 11802221179200 is 297112220811.

11802221179200 is a `hidden beast` number, since 118 + 0 + 222 + 117 + 9 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11802221179201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4049734 + ... + 6324933.

Almost surely, 2^{11802221179200} is an apocalyptic number.

11802221179200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11802221179200 is an abundant number, since it is smaller than the sum of its proper divisors (30676649453440).

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

11802221179200 is a wasteful number, since it uses less digits than its factorization.

11802221179200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10374774 (or 10374756 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 11802221179200 in words is "eleven trillion, eight hundred two billion, two hundred twenty-one million, one hundred seventy-nine thousand, two hundred".