11202211221120 has 96 divisors (see below), whose sum is σ = 38682635642820. Its totient is φ = 2987256324096.

The previous prime is 11202211221079. The next prime is 11202211221121. The reversal of 11202211221120 is 2112211220211.

11202211221120 is a `hidden beast` number, since 11 + 202 + 211 + 221 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10086010519104 + 1116200702016 = 3175848^2 + 1056504^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11202211221093 and 11202211221102.

It is not an unprimeable number, because it can be changed into a prime (11202211221121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 972408409 + ... + 972419928.

Almost surely, 2^{11202211221120} is an apocalyptic number.

11202211221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202211221120 is an abundant number, since it is smaller than the sum of its proper divisors (27480424421700).

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

11202211221120 is a wasteful number, since it uses less digits than its factorization.

11202211221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944828362 (or 1944828347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11202211221120 its reverse (2112211220211), we get a palindrome (13314422441331).

Subtracting from 11202211221120 its reverse (2112211220211), we obtain a palindrome (9090000000909).

The spelling of 11202211221120 in words is "eleven trillion, two hundred two billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty".