12949675200 has 1344 divisors, whose sum is σ = 62588851200. Its totient is φ = 2521497600.

The previous prime is 12949675199. The next prime is 12949675201. The reversal of 12949675200 is 257694921.

12949675200 is a `hidden beast` number, since 1 + 29 + 49 + 67 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12949675199) and next prime (12949675201).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12949675201) 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, 56548686 + ... + 56548914.

Almost surely, 2^12949675200 is an apocalyptic number.

12949675200 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 12949675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31294425600).

12949675200 is an abundant number, since it is smaller than the sum of its proper divisors (49639176000).

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

12949675200 is a wasteful number, since it uses less digits than its factorization.

12949675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12949675200 in words is "twelve billion, nine hundred forty-nine million, six hundred seventy-five thousand, two hundred".