12450952800 has 1152 divisors, whose sum is σ = 55121472000. Its totient is φ = 2670796800.

The previous prime is 12450952793. The next prime is 12450952807. The reversal of 12450952800 is 825905421.

12450952800 is a `hidden beast` number, since 1 + 24 + 509 + 52 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12450952793) and next prime (12450952807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12450952807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89575131 + ... + 89575269.

It is an arithmetic number, because the mean of its divisors is an integer number (47848500).

Almost surely, 2^12450952800 is an apocalyptic number.

12450952800 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 12450952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560736000).

12450952800 is an abundant number, since it is smaller than the sum of its proper divisors (42670519200).

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

12450952800 is a wasteful number, since it uses less digits than its factorization.

12450952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 12450952800 in words is "twelve billion, four hundred fifty million, nine hundred fifty-two thousand, eight hundred".