11011212212220 has 432 divisors, whose sum is σ = 37738813563360. Its totient is φ = 2594937185280.

The previous prime is 11011212212201. The next prime is 11011212212387. The reversal of 11011212212220 is 2221221211011.

11011212212220 is a `hidden beast` number, since 1 + 10 + 11 + 212 + 212 + 220 = 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 = 11011212212193 and 11011212212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1014572314 + ... + 1014583166.

It is an arithmetic number, because the mean of its divisors is an integer number (87358364730).

Almost surely, 2^{11011212212220} is an apocalyptic number.

11011212212220 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 11011212212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869406781680).

11011212212220 is an abundant number, since it is smaller than the sum of its proper divisors (26727601351140).

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

11011212212220 is a wasteful number, since it uses less digits than its factorization.

11011212212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12186 (or 12170 counting only the distinct ones).

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

Adding to 11011212212220 its reverse (2221221211011), we get a palindrome (13232433423231).

The spelling of 11011212212220 in words is "eleven trillion, eleven billion, two hundred twelve million, two hundred twelve thousand, two hundred twenty".