1293280809312 has 96 divisors (see below), whose sum is σ = 3461271821280. Its totient is φ = 422671708160.

The previous prime is 1293280809307. The next prime is 1293280809341. The reversal of 1293280809312 is 2139080823921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1293280809312³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 7449514 + ... + 7621142.

It is an arithmetic number, because the mean of its divisors is an integer number (36054914805).

Almost surely, 2^{1293280809312} is an apocalyptic number.

1293280809312 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 1293280809312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730635910640).

1293280809312 is an abundant number, since it is smaller than the sum of its proper divisors (2167991011968).

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

1293280809312 is a wasteful number, since it uses less digits than its factorization.

1293280809312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173176 (or 173168 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 1293280809312 in words is "one trillion, two hundred ninety-three billion, two hundred eighty million, eight hundred nine thousand, three hundred twelve".