12001003103100 has 288 divisors, whose sum is σ = 38797679289600. Its totient is φ = 2839612723200.

The previous prime is 12001003103083. The next prime is 12001003103113. The reversal of 12001003103100 is 130130010021.

It is a super-2 number, since 2×12001003103100² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23850916 + ... + 24348884.

It is an arithmetic number, because the mean of its divisors is an integer number (134714164200).

Almost surely, 2^{12001003103100} is an apocalyptic number.

12001003103100 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 12001003103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19398839644800).

12001003103100 is an abundant number, since it is smaller than the sum of its proper divisors (26796676186500).

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

12001003103100 is a wasteful number, since it uses less digits than its factorization.

12001003103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498173 (or 498166 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12001003103100 its reverse (130130010021), we get a palindrome (12131133113121).

The spelling of 12001003103100 in words is "twelve trillion, one billion, three million, one hundred three thousand, one hundred".