12018736900 has 81 divisors (see below), whose sum is σ = 27573358239. Its totient is φ = 4546575360.

The previous prime is 12018736889. The next prime is 12018736903. The reversal of 12018736900 is 963781021.

The square root of 12018736900 is 109630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3393528516 + 8625208384 = 58254^2 + 92872^2 .

It is a super-2 number, since 2×12018736900² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12018736900.

It is not an unprimeable number, because it can be changed into a prime (12018736903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20829412 + ... + 20829988.

Almost surely, 2^12018736900 is an apocalyptic number.

12018736900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12018736900 is the 109630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12018736900

12018736900 is an abundant number, since it is smaller than the sum of its proper divisors (15554621339).

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

12018736900 is an equidigital number, since it uses as much as digits as its factorization.

12018736900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 12018736900 in words is "twelve billion, eighteen million, seven hundred thirty-six thousand, nine hundred".