1276408693120 has 128 divisors (see below), whose sum is σ = 3330383558400. Its totient is φ = 463930030080.

The previous prime is 1276408693111. The next prime is 1276408693121. The reversal of 1276408693120 is 213968046721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1276408693121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15298557 + ... + 15381763.

It is an arithmetic number, because the mean of its divisors is an integer number (26018621550).

Almost surely, 2^{1276408693120} is an apocalyptic number.

1276408693120 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 1276408693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665191779200).

1276408693120 is an abundant number, since it is smaller than the sum of its proper divisors (2053974865280).

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

1276408693120 is a wasteful number, since it uses less digits than its factorization.

1276408693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85416 (or 85404 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 1276408693120 in words is "one trillion, two hundred seventy-six billion, four hundred eight million, six hundred ninety-three thousand, one hundred twenty".