12951268783200 has 1728 divisors, whose sum is σ = 52631713854720. Its totient is φ = 3109062528000.

The previous prime is 12951268783177. The next prime is 12951268783217. The reversal of 12951268783200 is 238786215921.

12951268783200 is a `hidden beast` number, since 1 + 2 + 9 + 51 + 268 + 7 + 8 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27732909367 + ... + 27732909833.

It is an arithmetic number, because the mean of its divisors is an integer number (30458167740).

Almost surely, 2^{12951268783200} is an apocalyptic number.

12951268783200 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 12951268783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26315856927360).

12951268783200 is an abundant number, since it is smaller than the sum of its proper divisors (39680445071520).

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

12951268783200 is a wasteful number, since it uses less digits than its factorization.

12951268783200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12951268783200 in words is "twelve trillion, nine hundred fifty-one billion, two hundred sixty-eight million, seven hundred eighty-three thousand, two hundred".