12434245200 has 600 divisors, whose sum is σ = 49052907288. Its totient is φ = 2997596160.

The previous prime is 12434245169. The next prime is 12434245217. The reversal of 12434245200 is 254243421.

12434245200 is a `hidden beast` number, since 1 + 2 + 434 + 24 + 5 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7114585104 + 5319660096 = 84348^2 + 72936^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×12434245200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22323322 + ... + 22323878.

Almost surely, 2^12434245200 is an apocalyptic number.

12434245200 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 12434245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24526453644).

12434245200 is an abundant number, since it is smaller than the sum of its proper divisors (36618662088).

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

12434245200 is a wasteful number, since it uses less digits than its factorization.

12434245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12434245200 its reverse (254243421), we get a palindrome (12688488621).

The spelling of 12434245200 in words is "twelve billion, four hundred thirty-four million, two hundred forty-five thousand, two hundred".