12573364100 has 108 divisors (see below), whose sum is σ = 30161014884. Its totient is φ = 4546080000.

The previous prime is 12573364081. The next prime is 12573364129. The reversal of 12573364100 is 146337521.

It can be written as a sum of positive squares in 6 ways, for example, as 2702544196 + 9870819904 = 51986^2 + 99352^2 .

It is a super-3 number, since 3×12573364100³ (a number of 31 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 2187230 + ... + 2192970.

Almost surely, 2^12573364100 is an apocalyptic number.

12573364100 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 12573364100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15080507442).

12573364100 is an abundant number, since it is smaller than the sum of its proper divisors (17587650784).

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

12573364100 is a wasteful number, since it uses less digits than its factorization.

12573364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

It can be divided in two parts, 12573 and 364100, that added together give a palindrome (376673).

The spelling of 12573364100 in words is "twelve billion, five hundred seventy-three million, three hundred sixty-four thousand, one hundred".