1293120 has 84 divisors (see below), whose sum is σ = 4457700. Its totient is φ = 344064.

The previous prime is 1293119. The next prime is 1293133. The reversal of 1293120 is 213921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 665856 = 792^2 + 816^2 .

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1293093 and 1293102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2656 + ... + 3104.

2^1293120 is an apocalyptic number.

1293120 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 1293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228850).

1293120 is an abundant number, since it is smaller than the sum of its proper divisors (3164580).

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

1293120 is a wasteful number, since it uses less digits than its factorization.

1293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1293120 is about 1137.1543430863. The cubic root of 1293120 is about 108.9464147578.

It can be divided in two parts, 129 and 3120, that added together give a square (3249 = 57²).

The spelling of 1293120 in words is "one million, two hundred ninety-three thousand, one hundred twenty".