1289297382912 has 1080 divisors, whose sum is σ = 4878061284096. Its totient is φ = 326430720000.

The previous prime is 1289297382883. The next prime is 1289297383009. The reversal of 1289297382912 is 2192837929821.

1289297382912 is a `hidden beast` number, since 1 + 2 + 89 + 2 + 97 + 382 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1289297382912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1120153537 + ... + 1120154687.

Almost surely, 2^{1289297382912} is an apocalyptic number.

1289297382912 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 1289297382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439030642048).

1289297382912 is an abundant number, since it is smaller than the sum of its proper divisors (3588763901184).

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

1289297382912 is a wasteful number, since it uses less digits than its factorization.

1289297382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1215 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 1289297382912 in words is "one trillion, two hundred eighty-nine billion, two hundred ninety-seven million, three hundred eighty-two thousand, nine hundred twelve".