1257120 has 120 divisors (see below), whose sum is σ = 4482324. Its totient is φ = 331776.

The previous prime is 1257119. The next prime is 1257131. The reversal of 1257120 is 217521.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 11664 = 1116^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 1257093 and 1257102.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12912 + ... + 13008.

2^1257120 is an apocalyptic number.

1257120 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 1257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241162).

1257120 is an abundant number, since it is smaller than the sum of its proper divisors (3225204).

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

1257120 is an equidigital number, since it uses as much as digits as its factorization.

1257120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1257120 is about 1121.2136281726. The cubic root of 1257120 is about 107.9258750625.

The spelling of 1257120 in words is "one million, two hundred fifty-seven thousand, one hundred twenty".