12181536900 has 243 divisors, whose sum is σ = 41491998639. Its totient is φ = 2987936640.

The previous prime is 12181536883. The next prime is 12181536923. The reversal of 12181536900 is 963518121.

The square root of 12181536900 is 110370.

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 3139809156 + 9041727744 = 56034^2 + 95088^2 .

It is a super-2 number, since 2×12181536900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43044159 + ... + 43044441.

Almost surely, 2^12181536900 is an apocalyptic number.

12181536900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12181536900 is the 110370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12181536900

12181536900 is an abundant number, since it is smaller than the sum of its proper divisors (29310461739).

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

12181536900 is a wasteful number, since it uses less digits than its factorization.

12181536900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 12181536900 by its sum of digits (36), we get a square (438535328400 = 662220²).

12181536900 divided by its sum of digits (36) gives a square (338376025 = 18395²).

It can be divided in two parts, 12181 and 536900, that added together give a square (549081 = 741²).

The spelling of 12181536900 in words is "twelve billion, one hundred eighty-one million, five hundred thirty-six thousand, nine hundred".