12464971200 has 672 divisors, whose sum is σ = 52520209920. Its totient is φ = 2842214400.

The previous prime is 12464971171. The next prime is 12464971201. The reversal of 12464971200 is 217946421.

It is a happy number.

12464971200 is a `hidden beast` number, since 1 + 2 + 4 + 649 + 7 + 1 + 2 + 0 + 0 = 666.

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 (12464971201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8077629 + ... + 8079171.

Almost surely, 2^12464971200 is an apocalyptic number.

12464971200 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 12464971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26260104960).

12464971200 is an abundant number, since it is smaller than the sum of its proper divisors (40055238720).

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

12464971200 is a wasteful number, since it uses less digits than its factorization.

12464971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12464971200 in words is "twelve billion, four hundred sixty-four million, nine hundred seventy-one thousand, two hundred".