12782055040000 has 495 divisors, whose sum is σ = 33030074782551. Its totient is φ = 4942356480000.

The previous prime is 12782055039973. The next prime is 12782055040019. The reversal of 12782055040000 is 4055028721.

It is a happy number.

The square root of 12782055040000 is 3575200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 8157284361216 + 4624770678784 = 2856096^2 + 2150528^2 .

It is a super-3 number, since 3×12782055040000³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 117266559946 + ... + 117266560054.

Almost surely, 2^{12782055040000} is an apocalyptic number.

12782055040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12782055040000 is the 3575200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12782055040000

12782055040000 is an abundant number, since it is smaller than the sum of its proper divisors (20248019742551).

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

12782055040000 is an frugal number, since it uses more digits than its factorization.

12782055040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The spelling of 12782055040000 in words is "twelve trillion, seven hundred eighty-two billion, fifty-five million, forty thousand".