11103212120 has 384 divisors, whose sum is σ = 34266032640. Its totient is φ = 3143761920.

The previous prime is 11103212111. The next prime is 11103212149. The reversal of 11103212120 is 2121230111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11103212095 and 11103212104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43203032 + ... + 43203288.

It is an arithmetic number, because the mean of its divisors is an integer number (89234460).

Almost surely, 2^11103212120 is an apocalyptic number.

11103212120 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 11103212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133016320).

11103212120 is an abundant number, since it is smaller than the sum of its proper divisors (23162820520).

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

11103212120 is a wasteful number, since it uses less digits than its factorization.

11103212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11103212120 its reverse (2121230111), we get a palindrome (13224442231).

The spelling of 11103212120 in words is "eleven billion, one hundred three million, two hundred twelve thousand, one hundred twenty".