1282198896000 has 1280 divisors, whose sum is σ = 5296181267520. Its totient is φ = 304791552000.

The previous prime is 1282198895963. The next prime is 1282198896031. The reversal of 1282198896000 is 6988912821.

1282198896000 is a `hidden beast` number, since 1 + 2 + 8 + 21 + 9 + 8 + 8 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 755567152 + ... + 755568848.

Almost surely, 2^{1282198896000} is an apocalyptic number.

1282198896000 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 1282198896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648090633760).

1282198896000 is an abundant number, since it is smaller than the sum of its proper divisors (4013982371520).

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

1282198896000 is a wasteful number, since it uses less digits than its factorization.

1282198896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 1282198896000 in words is "one trillion, two hundred eighty-two billion, one hundred ninety-eight million, eight hundred ninety-six thousand".