12240172800 has 648 divisors, whose sum is σ = 46082863008. Its totient is φ = 3096576000.

The previous prime is 12240172753. The next prime is 12240172801. The reversal of 12240172800 is 827104221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240172801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167673564 + ... + 167673636.

Almost surely, 2^12240172800 is an apocalyptic number.

12240172800 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 12240172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23041431504).

12240172800 is an abundant number, since it is smaller than the sum of its proper divisors (33842690208).

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

12240172800 is a wasteful number, since it uses less digits than its factorization.

12240172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 12240172800 in words is "twelve billion, two hundred forty million, one hundred seventy-two thousand, eight hundred".