12130103122000 has 320 divisors, whose sum is σ = 30521664613440. Its totient is φ = 4657078272000.

The previous prime is 12130103121967. The next prime is 12130103122021. The reversal of 12130103122000 is 22130103121.

It can be written as a sum of positive squares in 32 ways, for example, as 12026774305296 + 103328816704 = 3467964^2 + 321448^2 .

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13768561560 + ... + 13768562440.

It is an arithmetic number, because the mean of its divisors is an integer number (95380201917).

Almost surely, 2^{12130103122000} is an apocalyptic number.

12130103122000 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 12130103122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15260832306720).

12130103122000 is an abundant number, since it is smaller than the sum of its proper divisors (18391561491440).

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

12130103122000 is a wasteful number, since it uses less digits than its factorization.

12130103122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12130103122000 its reverse (22130103121), we get a palindrome (12152233225121).

The spelling of 12130103122000 in words is "twelve trillion, one hundred thirty billion, one hundred three million, one hundred twenty-two thousand".