11200121220 has 96 divisors (see below), whose sum is σ = 33258653568. Its totient is φ = 2806474752.

The previous prime is 11200121183. The next prime is 11200121269. The reversal of 11200121220 is 2212100211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11200121196 and 11200121205.

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, 647322 + ... + 664398.

It is an arithmetic number, because the mean of its divisors is an integer number (346444308).

Almost surely, 2^11200121220 is an apocalyptic number.

11200121220 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 11200121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16629326784).

11200121220 is an abundant number, since it is smaller than the sum of its proper divisors (22058532348).

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

11200121220 is a wasteful number, since it uses less digits than its factorization.

11200121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17749 (or 17747 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11200121220 its reverse (2212100211), we get a palindrome (13412221431).

The spelling of 11200121220 in words is "eleven billion, two hundred million, one hundred twenty-one thousand, two hundred twenty".