12111201013120 has 128 divisors (see below), whose sum is σ = 31594161196800. Its totient is φ = 4402860103680.

The previous prime is 12111201013117. The next prime is 12111201013123. The reversal of 12111201013120 is 2131010211121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12111201013117) and next prime (12111201013123).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12111201013094 and 12111201013103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111201013123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25524277 + ... + 25994443.

It is an arithmetic number, because the mean of its divisors is an integer number (246829384350).

Almost surely, 2^{12111201013120} is an apocalyptic number.

12111201013120 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 12111201013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797080598400).

12111201013120 is an abundant number, since it is smaller than the sum of its proper divisors (19482960183680).

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

12111201013120 is a wasteful number, since it uses less digits than its factorization.

12111201013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473856 (or 473844 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12111201013120 its reverse (2131010211121), we get a palindrome (14242211224241).

The spelling of 12111201013120 in words is "twelve trillion, one hundred eleven billion, two hundred one million, thirteen thousand, one hundred twenty".