1266204982272 has 704 divisors, whose sum is σ = 3947533056000. Its totient is φ = 358112821248.

The previous prime is 1266204982247. The next prime is 1266204982283. The reversal of 1266204982272 is 2722894026621.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2273258218 + ... + 2273258774.

Almost surely, 2^{1266204982272} is an apocalyptic number.

1266204982272 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 1266204982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973766528000).

1266204982272 is an abundant number, since it is smaller than the sum of its proper divisors (2681328073728).

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

1266204982272 is a wasteful number, since it uses less digits than its factorization.

1266204982272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 1266204982272 in words is "one trillion, two hundred sixty-six billion, two hundred four million, nine hundred eighty-two thousand, two hundred seventy-two".