12111010101120 has 256 divisors, whose sum is σ = 44156671879680. Its totient is φ = 2765847060480.

The previous prime is 12111010101103. The next prime is 12111010101221. The reversal of 12111010101120 is 2110101011121.

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 = 12111010101096 and 12111010101105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15243310 + ... + 16018130.

It is an arithmetic number, because the mean of its divisors is an integer number (172486999530).

Almost surely, 2^{12111010101120} is an apocalyptic number.

12111010101120 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 12111010101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22078335939840).

12111010101120 is an abundant number, since it is smaller than the sum of its proper divisors (32045661778560).

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

12111010101120 is a wasteful number, since it uses less digits than its factorization.

12111010101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776013 (or 776001 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12111010101120 its reverse (2110101011121), we get a palindrome (14221111112241).

The spelling of 12111010101120 in words is "twelve trillion, one hundred eleven billion, ten million, one hundred one thousand, one hundred twenty".