11222120121120 has 384 divisors, whose sum is σ = 39627014676480. Its totient is φ = 2965977907200.

The previous prime is 11222120121103. The next prime is 11222120121133. The reversal of 11222120121120 is 2112102122211.

11222120121120 is a `hidden beast` number, since 1 + 12 + 221 + 201 + 211 + 20 = 666.

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 = 11222120121093 and 11222120121102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566735220 + ... + 566755020.

It is an arithmetic number, because the mean of its divisors is an integer number (103195350720).

Almost surely, 2^{11222120121120} is an apocalyptic number.

11222120121120 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 11222120121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813507338240).

11222120121120 is an abundant number, since it is smaller than the sum of its proper divisors (28404894555360).

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

11222120121120 is a wasteful number, since it uses less digits than its factorization.

11222120121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20985 (or 20971 counting only the distinct ones).

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

Adding to 11222120121120 its reverse (2112102122211), we get a palindrome (13334222243331).

The spelling of 11222120121120 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".