12004300100 has 144 divisors (see below), whose sum is σ = 29877368976. Its totient is φ = 4147200000.

The previous prime is 12004300081. The next prime is 12004300141. The reversal of 12004300100 is 100340021.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 11120546116 + 883753984 = 105454^2 + 29728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3998600 + ... + 4001600.

It is an arithmetic number, because the mean of its divisors is an integer number (207481729).

Almost surely, 2^12004300100 is an apocalyptic number.

12004300100 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 12004300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938684488).

12004300100 is an abundant number, since it is smaller than the sum of its proper divisors (17873068876).

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

12004300100 is a wasteful number, since it uses less digits than its factorization.

12004300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12004300100 its reverse (100340021), we get a palindrome (12104640121).

It can be divided in two parts, 12004 and 300100, that multiplied together give a square (3602400400 = 60020²).

The spelling of 12004300100 in words is "twelve billion, four million, three hundred thousand, one hundred".