1279774605312 has 1440 divisors, whose sum is σ = 4905676016640. Its totient is φ = 326998425600.

The previous prime is 1279774605271. The next prime is 1279774605313. The reversal of 1279774605312 is 2135064779721.

1279774605312 is a `hidden beast` number, since 1 + 27 + 9 + 7 + 7 + 4 + 605 + 3 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1279774605313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8475328437 + ... + 8475328587.

It is an arithmetic number, because the mean of its divisors is an integer number (3406719456).

Almost surely, 2^{1279774605312} is an apocalyptic number.

1279774605312 is a gapful number since it is divisible by the number (12) 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 1279774605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452838008320).

1279774605312 is an abundant number, since it is smaller than the sum of its proper divisors (3625901411328).

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

1279774605312 is a wasteful number, since it uses less digits than its factorization.

1279774605312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 1279774605312 in words is "one trillion, two hundred seventy-nine billion, seven hundred seventy-four million, six hundred five thousand, three hundred twelve".