1284120 has 128 divisors (see below), whose sum is σ = 4536000. Its totient is φ = 322560.

The previous prime is 1284083. The next prime is 1284131. The reversal of 1284120 is 214821.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1284093 and 1284102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31300 + ... + 31340.

2^1284120 is an apocalyptic number.

1284120 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 1284120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268000).

1284120 is an abundant number, since it is smaller than the sum of its proper divisors (3251880).

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

1284120 is a wasteful number, since it uses less digits than its factorization.

1284120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1284120 is about 1133.1901870383. The cubic root of 1284120 is about 108.6930736548.

Adding to 1284120 its reverse (214821), we get a palindrome (1498941).

The spelling of 1284120 in words is "one million, two hundred eighty-four thousand, one hundred twenty".