2210003111120 has 80 divisors (see below), whose sum is σ = 5872509552000. Its totient is φ = 757687537152.

The previous prime is 2210003111117. The next prime is 2210003111189. The reversal of 2210003111120 is 211113000122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2210003111120² (a number of 25 digits) contains 22 as substring.

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 = 2210003111095 and 2210003111104.

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 15 ways as a sum of consecutive naturals, for example, 20314631 + ... + 20423129.

It is an arithmetic number, because the mean of its divisors is an integer number (73406369400).

Almost surely, 2^{2210003111120} is an apocalyptic number.

2210003111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210003111120 is an abundant number, since it is smaller than the sum of its proper divisors (3662506440880).

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

2210003111120 is a wasteful number, since it uses less digits than its factorization.

2210003111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144892 (or 144886 counting only the distinct ones).

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

Adding to 2210003111120 its reverse (211113000122), we get a palindrome (2421116111242).

The spelling of 2210003111120 in words is "two trillion, two hundred ten billion, three million, one hundred eleven thousand, one hundred twenty".