11022111220120 has 256 divisors, whose sum is σ = 33302127559680. Its totient is φ = 3170762496000.

The previous prime is 11022111220069. The next prime is 11022111220187. The reversal of 11022111220120 is 2102211122011.

It is a junction number, because it is equal to n+sod(n) for n = 11022111220094 and 11022111220103.

It is a congruent number.

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, 396422139 + ... + 396449941.

It is an arithmetic number, because the mean of its divisors is an integer number (130086435780).

Almost surely, 2^{11022111220120} is an apocalyptic number.

11022111220120 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 11022111220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16651063779840).

11022111220120 is an abundant number, since it is smaller than the sum of its proper divisors (22280016339560).

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

11022111220120 is a wasteful number, since it uses less digits than its factorization.

11022111220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37746 (or 37742 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11022111220120 its reverse (2102211122011), we get a palindrome (13124322342131).

The spelling of 11022111220120 in words is "eleven trillion, twenty-two billion, one hundred eleven million, two hundred twenty thousand, one hundred twenty".