11213211330120 has 256 divisors, whose sum is σ = 35007178752000. Its totient is φ = 2870254126080.

The previous prime is 11213211330071. The next prime is 11213211330121. The reversal of 11213211330120 is 2103311231211.

It is a super-2 number, since 2×11213211330120² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11213211330121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402947647 + ... + 402975473.

It is an arithmetic number, because the mean of its divisors is an integer number (136746792000).

Almost surely, 2^{11213211330120} is an apocalyptic number.

11213211330120 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 11213211330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503589376000).

11213211330120 is an abundant number, since it is smaller than the sum of its proper divisors (23793967421880).

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

11213211330120 is a wasteful number, since it uses less digits than its factorization.

11213211330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28748 (or 28744 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11213211330120 its reverse (2103311231211), we get a palindrome (13316522561331).

The spelling of 11213211330120 in words is "eleven trillion, two hundred thirteen billion, two hundred eleven million, three hundred thirty thousand, one hundred twenty".