12240601200 has 240 divisors, whose sum is σ = 43661689600. Its totient is φ = 3257107200.

The previous prime is 12240601187. The next prime is 12240601253. The reversal of 12240601200 is 210604221.

12240601200 is a `hidden beast` number, since 1 + 2 + 2 + 40 + 601 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6684285 + ... + 6686115.

Almost surely, 2^12240601200 is an apocalyptic number.

12240601200 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 12240601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21830844800).

12240601200 is an abundant number, since it is smaller than the sum of its proper divisors (31421088400).

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

12240601200 is a wasteful number, since it uses less digits than its factorization.

12240601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 12240601200 in words is "twelve billion, two hundred forty million, six hundred one thousand, two hundred".