11003233112120 has 128 divisors (see below), whose sum is σ = 25769003662080. Its totient is φ = 4225296000000.

The previous prime is 11003233112107. The next prime is 11003233112153. The reversal of 11003233112120 is 2121133230011.

It is a happy number.

It is a super-2 number, since 2×11003233112120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11003233112092 and 11003233112101.

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, 34005095 + ... + 34327145.

It is an arithmetic number, because the mean of its divisors is an integer number (201320341110).

Almost surely, 2^{11003233112120} is an apocalyptic number.

11003233112120 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 11003233112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884501831040).

11003233112120 is an abundant number, since it is smaller than the sum of its proper divisors (14765770549960).

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

11003233112120 is a wasteful number, since it uses less digits than its factorization.

11003233112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322437 (or 322433 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11003233112120 its reverse (2121133230011), we get a palindrome (13124366342131).

The spelling of 11003233112120 in words is "eleven trillion, three billion, two hundred thirty-three million, one hundred twelve thousand, one hundred twenty".