11210221220120 has 128 divisors (see below), whose sum is σ = 27604836080640. Its totient is φ = 4072115873280.

The previous prime is 11210221220117. The next prime is 11210221220141. The reversal of 11210221220120 is 2102212201211.

It is a super-3 number, since 3×11210221220120³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16916549 + ... + 17566731.

It is an arithmetic number, because the mean of its divisors is an integer number (215662781880).

Almost surely, 2^{11210221220120} is an apocalyptic number.

11210221220120 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 11210221220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13802418040320).

11210221220120 is an abundant number, since it is smaller than the sum of its proper divisors (16394614860520).

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

11210221220120 is a wasteful number, since it uses less digits than its factorization.

11210221220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650745 (or 650741 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11210221220120 its reverse (2102212201211), we get a palindrome (13312433421331).

It can be divided in two parts, 1 and 1210221220120, that added together give a palindrome (1210221220121).

The spelling of 11210221220120 in words is "eleven trillion, two hundred ten billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty".