1257312168 has 144 divisors (see below), whose sum is σ = 4098100500. Its totient is φ = 346816512.

The previous prime is 1257312149. The next prime is 1257312179. The reversal of 1257312168 is 8612137521.

1257312168 is a `hidden beast` number, since 1 + 2 + 573 + 1 + 21 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1218149604 + 39162564 = 34902^2 + 6258^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96168 + ... + 108456.

Almost surely, 2^1257312168 is an apocalyptic number.

1257312168 is a gapful number since it is divisible by the number (18) 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 1257312168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049050250).

1257312168 is an abundant number, since it is smaller than the sum of its proper divisors (2840788332).

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

1257312168 is a wasteful number, since it uses less digits than its factorization.

1257312168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344 (or 12330 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1257312168 is about 35458.5979418251. The cubic root of 1257312168 is about 1079.3137409809.

Adding to 1257312168 its reverse (8612137521), we get a palindrome (9869449689).

The spelling of 1257312168 in words is "one billion, two hundred fifty-seven million, three hundred twelve thousand, one hundred sixty-eight".