12917923200 has 1536 divisors, whose sum is σ = 61196083200. Its totient is φ = 2587852800.

The previous prime is 12917923189. The next prime is 12917923223. The reversal of 12917923200 is 232971921.

12917923200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243734374 + ... + 243734426.

It is an arithmetic number, because the mean of its divisors is an integer number (39841200).

Almost surely, 2^12917923200 is an apocalyptic number.

12917923200 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 12917923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30598041600).

12917923200 is an abundant number, since it is smaller than the sum of its proper divisors (48278160000).

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

12917923200 is a wasteful number, since it uses less digits than its factorization.

12917923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 12917923200 in words is "twelve billion, nine hundred seventeen million, nine hundred twenty-three thousand, two hundred".