1286055429120 has 3520 divisors, whose sum is σ = 6409774964736. Its totient is φ = 238241710080.

The previous prime is 1286055429077. The next prime is 1286055429133. The reversal of 1286055429120 is 219245506821.

1286055429120 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 0 + 554 + 2 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12485974989 + ... + 12485975091.

Almost surely, 2^{1286055429120} is an apocalyptic number.

1286055429120 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 1286055429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204887482368).

1286055429120 is an abundant number, since it is smaller than the sum of its proper divisors (5123719535616).

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

1286055429120 is a wasteful number, since it uses less digits than its factorization.

1286055429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1286055429120 in words is "one trillion, two hundred eighty-six billion, fifty-five million, four hundred twenty-nine thousand, one hundred twenty".