12103101201120 has 96 divisors (see below), whose sum is σ = 39439416028320. Its totient is φ = 3116200765440.

The previous prime is 12103101201071. The next prime is 12103101201151. The reversal of 12103101201120 is 2110210130121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12103101201120.

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 15 ways as a sum of consecutive naturals, for example, 434723911 + ... + 434751750.

It is an arithmetic number, because the mean of its divisors is an integer number (410827250295).

Almost surely, 2^{12103101201120} is an apocalyptic number.

12103101201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12103101201120 is an abundant number, since it is smaller than the sum of its proper divisors (27336314827200).

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

12103101201120 is a wasteful number, since it uses less digits than its factorization.

12103101201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869475708 (or 869475700 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12103101201120 its reverse (2110210130121), we get a palindrome (14213311331241).

The spelling of 12103101201120 in words is "twelve trillion, one hundred three billion, one hundred one million, two hundred one thousand, one hundred twenty".