11121220212210 has 192 divisors, whose sum is σ = 30934241694720. Its totient is φ = 2764028966400.

The previous prime is 11121220212121. The next prime is 11121220212217. The reversal of 11121220212210 is 1221202212111.

11121220212210 is a `hidden beast` number, since 1 + 1 + 1 + 21 + 220 + 212 + 210 = 666.

11121220212210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11121220212217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26910399 + ... + 27320541.

It is an arithmetic number, because the mean of its divisors is an integer number (161115842160).

Almost surely, 2^{11121220212210} is an apocalyptic number.

11121220212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121220212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467120847360).

11121220212210 is an abundant number, since it is smaller than the sum of its proper divisors (19813021482510).

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

11121220212210 is a wasteful number, since it uses less digits than its factorization.

11121220212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410433 (or 410430 counting only the distinct ones).

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

Adding to 11121220212210 its reverse (1221202212111), we get a palindrome (12342422424321).

The spelling of 11121220212210 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty million, two hundred twelve thousand, two hundred ten".