11001211012220 has 96 divisors (see below), whose sum is σ = 27162035873280. Its totient is φ = 3689913288960.

The previous prime is 11001211012213. The next prime is 11001211012237. The reversal of 11001211012220 is 2221011210011.

It is a junction number, because it is equal to n+sod(n) for n = 11001211012195 and 11001211012204.

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, 2314199 + ... + 5230481.

It is an arithmetic number, because the mean of its divisors is an integer number (282937873680).

Almost surely, 2^{11001211012220} is an apocalyptic number.

11001211012220 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 11001211012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13581017936640).

11001211012220 is an abundant number, since it is smaller than the sum of its proper divisors (16160824861060).

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

11001211012220 is a wasteful number, since it uses less digits than its factorization.

11001211012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917635 (or 2917633 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11001211012220 its reverse (2221011210011), we get a palindrome (13222222222231).

The spelling of 11001211012220 in words is "eleven trillion, one billion, two hundred eleven million, twelve thousand, two hundred twenty".