12300100113000 has 512 divisors, whose sum is σ = 45302778593280. Its totient is φ = 2718996480000.

The previous prime is 12300100112953. The next prime is 12300100113017. The reversal of 12300100113000 is 31100100321.

12300100113000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12300100113000² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1178955784 + ... + 1178966216.

It is an arithmetic number, because the mean of its divisors is an integer number (88481989440).

Almost surely, 2^{12300100113000} is an apocalyptic number.

12300100113000 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 12300100113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22651389296640).

12300100113000 is an abundant number, since it is smaller than the sum of its proper divisors (33002678480280).

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

12300100113000 is a wasteful number, since it uses less digits than its factorization.

12300100113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12306 (or 12292 counting only the distinct ones).

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

Adding to 12300100113000 its reverse (31100100321), we get a palindrome (12331200213321).

The spelling of 12300100113000 in words is "twelve trillion, three hundred billion, one hundred million, one hundred thirteen thousand".