1278399283200 has 1836 divisors, whose sum is σ = 5413158900240. Its totient is φ = 298120642560.

The previous prime is 1278399283193. The next prime is 1278399283207. The reversal of 1278399283200 is 23829938721.

1278399283200 is a `hidden beast` number, since 1 + 2 + 78 + 3 + 99 + 283 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1278399283193) and next prime (1278399283207).

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

It is not an unprimeable number, because it can be changed into a prime (1278399283207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 67284172791 + ... + 67284172809.

Almost surely, 2^{1278399283200} is an apocalyptic number.

1278399283200 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 1278399283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706579450120).

1278399283200 is an abundant number, since it is smaller than the sum of its proper divisors (4134759617040).

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

1278399283200 is an frugal number, since it uses more digits than its factorization.

1278399283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1278399283200 in words is "one trillion, two hundred seventy-eight billion, three hundred ninety-nine million, two hundred eighty-three thousand, two hundred".