1279111680000 has 2340 divisors, whose sum is σ = 5915899031328. Its totient is φ = 263208960000.

The previous prime is 1279111679987. The next prime is 1279111680013. The reversal of 1279111680000 is 861119721.

It is an interprime number because it is at equal distance from previous prime (1279111679987) and next prime (1279111680013).

It is a super-2 number, since 2×1279111680000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 12418559949 + ... + 12418560051.

Almost surely, 2^{1279111680000} is an apocalyptic number.

1279111680000 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 1279111680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957949515664).

1279111680000 is an abundant number, since it is smaller than the sum of its proper divisors (4636787351328).

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

1279111680000 is a wasteful number, since it uses less digits than its factorization.

1279111680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

Adding to 1279111680000 its reverse (861119721), we get a palindrome (1279972799721).

The spelling of 1279111680000 in words is "one trillion, two hundred seventy-nine billion, one hundred eleven million, six hundred eighty thousand".