11000211120 has 240 divisors, whose sum is σ = 40142668800. Its totient is φ = 2689251840.

The previous prime is 11000211119. The next prime is 11000211133. The reversal of 11000211120 is 2111200011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411111 + ... + 437049.

It is an arithmetic number, because the mean of its divisors is an integer number (167261120).

Almost surely, 2^11000211120 is an apocalyptic number.

11000211120 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 11000211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20071334400).

11000211120 is an abundant number, since it is smaller than the sum of its proper divisors (29142457680).

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

11000211120 is a wasteful number, since it uses less digits than its factorization.

11000211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26008 (or 25999 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000211120 its reverse (2111200011), we get a palindrome (13111411131).

The spelling of 11000211120 in words is "eleven billion, two hundred eleven thousand, one hundred twenty".