12101211120 has 160 divisors (see below), whose sum is σ = 38745645120. Its totient is φ = 3122012160.

The previous prime is 12101211091. The next prime is 12101211127. The reversal of 12101211120 is 2111210121.

12101211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12101211096 and 12101211105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101211127) by changing a digit.

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, 1603516 + ... + 1611044.

It is an arithmetic number, because the mean of its divisors is an integer number (242160282).

Almost surely, 2^12101211120 is an apocalyptic number.

12101211120 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 12101211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372822560).

12101211120 is an abundant number, since it is smaller than the sum of its proper divisors (26644434000).

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

12101211120 is a wasteful number, since it uses less digits than its factorization.

12101211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7763 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101211120 its reverse (2111210121), we get a palindrome (14212421241).

Subtracting from 12101211120 its reverse (2111210121), we obtain a palindrome (9990000999).

The spelling of 12101211120 in words is "twelve billion, one hundred one million, two hundred eleven thousand, one hundred twenty".