12211013120 has 160 divisors (see below), whose sum is σ = 29976518880. Its totient is φ = 4769382400.

The previous prime is 12211013117. The next prime is 12211013159. The reversal of 12211013120 is 2131011221.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 12211013095 and 12211013104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21460196 + ... + 21460764.

It is an arithmetic number, because the mean of its divisors is an integer number (187353243).

Almost surely, 2^12211013120 is an apocalyptic number.

12211013120 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 12211013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988259440).

12211013120 is an abundant number, since it is smaller than the sum of its proper divisors (17765505760).

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

12211013120 is an equidigital number, since it uses as much as digits as its factorization.

12211013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 760 counting only the distinct ones).

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

Adding to 12211013120 its reverse (2131011221), we get a palindrome (14342024341).

It can be divided in two parts, 1221101 and 3120, that added together give a palindrome (1224221).

The spelling of 12211013120 in words is "twelve billion, two hundred eleven million, thirteen thousand, one hundred twenty".