12703924224 has 256 divisors, whose sum is σ = 38314382400. Its totient is φ = 4159438848.

The previous prime is 12703924223. The next prime is 12703924249. The reversal of 12703924224 is 42242930721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×12703924224² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12703924223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73433002 + ... + 73433174.

Almost surely, 2^12703924224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12703924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19157191200).

12703924224 is an abundant number, since it is smaller than the sum of its proper divisors (25610458176).

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

12703924224 is an frugal number, since it uses more digits than its factorization.

12703924224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12703924224 in words is "twelve billion, seven hundred three million, nine hundred twenty-four thousand, two hundred twenty-four".