11210211111120 has 160 divisors (see below), whose sum is σ = 39725462050560. Its totient is φ = 2561734901760.

The previous prime is 11210211111103. The next prime is 11210211111163. The reversal of 11210211111120 is 2111111201211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11210211111120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6427630 + ... + 7983410.

It is an arithmetic number, because the mean of its divisors is an integer number (248284137816).

Almost surely, 2^{11210211111120} is an apocalyptic number.

11210211111120 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 11210211111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19862731025280).

11210211111120 is an abundant number, since it is smaller than the sum of its proper divisors (28515250939440).

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

11210211111120 is a wasteful number, since it uses less digits than its factorization.

11210211111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560093 (or 1560087 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11210211111120 its reverse (2111111201211), we get a palindrome (13321322312331).

Subtracting from 11210211111120 its reverse (2111111201211), we obtain a palindrome (9099099909909).

The spelling of 11210211111120 in words is "eleven trillion, two hundred ten billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".