1257368112 has 540 divisors, whose sum is σ = 4865074032. Its totient is φ = 296524800.

The previous prime is 1257368087. The next prime is 1257368113. The reversal of 1257368112 is 2118637521.

1257368112 is a `hidden beast` number, since 1 + 2 + 573 + 6 + 81 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1257368113) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20612562 + ... + 20612622.

Almost surely, 2^1257368112 is an apocalyptic number.

1257368112 is a gapful number since it is divisible by the number (12) 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 1257368112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432537016).

1257368112 is an abundant number, since it is smaller than the sum of its proper divisors (3607705920).

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

1257368112 is a wasteful number, since it uses less digits than its factorization.

1257368112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 97 counting only the distinct ones).

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

The square root of 1257368112 is about 35459.3867967285. The cubic root of 1257368112 is about 1079.3297487351.

The spelling of 1257368112 in words is "one billion, two hundred fifty-seven million, three hundred sixty-eight thousand, one hundred twelve".