12241864627200 has 1980 divisors, whose sum is σ = 49612271817108. Its totient is φ = 2981206425600.

The previous prime is 12241864627183. The next prime is 12241864627241. The reversal of 12241864627200 is 272646814221.

12241864627200 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 18 + 6 + 4 + 627 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 11645238150144 + 596626477056 = 3412512^2 + 772416^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 63429350304 + ... + 63429350496.

Almost surely, 2^{12241864627200} is an apocalyptic number.

12241864627200 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 12241864627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24806135908554).

12241864627200 is an abundant number, since it is smaller than the sum of its proper divisors (37370407189908).

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

12241864627200 is a wasteful number, since it uses less digits than its factorization.

12241864627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 12241864627200 in words is "twelve trillion, two hundred forty-one billion, eight hundred sixty-four million, six hundred twenty-seven thousand, two hundred".