1286120 has 64 divisors (see below), whose sum is σ = 3283200. Its totient is φ = 449280.

The previous prime is 1286119. The next prime is 1286147. The reversal of 1286120 is 216821.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1286092 and 1286101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16241 + ... + 16319.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2^1286120 is an apocalyptic number.

1286120 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 1286120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641600).

1286120 is an abundant number, since it is smaller than the sum of its proper divisors (1997080).

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

1286120 is a wasteful number, since it uses less digits than its factorization.

1286120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1286120 is about 1134.0723081003. The cubic root of 1286120 is about 108.7494737280.

The spelling of 1286120 in words is "one million, two hundred eighty-six thousand, one hundred twenty".