1279923691200 has 1344 divisors, whose sum is σ = 5570710118400. Its totient is φ = 249230131200.

The previous prime is 1279923691187. The next prime is 1279923691201. The reversal of 1279923691200 is 21963299721.

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

It is not an unprimeable number, because it can be changed into a prime (1279923691201) 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, 681171861 + ... + 681173739.

It is an arithmetic number, because the mean of its divisors is an integer number (4144873600).

Almost surely, 2^{1279923691200} is an apocalyptic number.

1279923691200 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 1279923691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785355059200).

1279923691200 is an abundant number, since it is smaller than the sum of its proper divisors (4290786427200).

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

1279923691200 is a wasteful number, since it uses less digits than its factorization.

1279923691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 1279923691200 in words is "one trillion, two hundred seventy-nine billion, nine hundred twenty-three million, six hundred ninety-one thousand, two hundred".