11404210221200 has 30 divisors (see below), whose sum is σ = 27398615057394. Its totient is φ = 4561684088320.

The previous prime is 11404210221179. The next prime is 11404210221221. The reversal of 11404210221200 is 212201240411.

It is an interprime number because it is at equal distance from previous prime (11404210221179) and next prime (11404210221221).

It can be written as a sum of positive squares in 3 ways, for example, as 173056 + 11404210048144 = 416^2 + 3377012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 14255262377 + ... + 14255263176.

Almost surely, 2^{11404210221200} is an apocalyptic number.

11404210221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11404210221200 is an abundant number, since it is smaller than the sum of its proper divisors (15994404836194).

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

11404210221200 is a wasteful number, since it uses less digits than its factorization.

11404210221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28510525571 (or 28510525560 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11404210221200 its reverse (212201240411), we get a palindrome (11616411461611).

The spelling of 11404210221200 in words is "eleven trillion, four hundred four billion, two hundred ten million, two hundred twenty-one thousand, two hundred".