11221121220120 has 144 divisors (see below), whose sum is σ = 42422708352960. Its totient is φ = 2564827703424.

The previous prime is 11221121220103. The next prime is 11221121220131. The reversal of 11221121220120 is 2102212112211.

11221121220120 is a `hidden beast` number, since 11 + 221 + 1 + 212 + 201 + 20 = 666.

It is a super-2 number, since 2×11221121220120² (a number of 27 digits) contains 22 as substring.

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 = 11221121220093 and 11221121220102.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 318041352 + ... + 318076631.

It is an arithmetic number, because the mean of its divisors is an integer number (294602141340).

Almost surely, 2^{11221121220120} is an apocalyptic number.

11221121220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221121220120 is an abundant number, since it is smaller than the sum of its proper divisors (31201587132840).

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

11221121220120 is a wasteful number, since it uses less digits than its factorization.

11221121220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636118014 (or 636118000 counting only the distinct ones).

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

Adding to 11221121220120 its reverse (2102212112211), we get a palindrome (13323333332331).

The spelling of 11221121220120 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".