1257031706112 has 1680 divisors, whose sum is σ = 5011015961952. Its totient is φ = 311020093440.

The previous prime is 1257031706111. The next prime is 1257031706123. The reversal of 1257031706112 is 2116071307521.

1257031706112 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 0 + 31 + 7 + 0 + 611 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257031706111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4041902437 + ... + 4041902747.

Almost surely, 2^{1257031706112} is an apocalyptic number.

1257031706112 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 1257031706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505507980976).

1257031706112 is an abundant number, since it is smaller than the sum of its proper divisors (3753984255840).

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

1257031706112 is an equidigital number, since it uses as much as digits as its factorization.

1257031706112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 1257031706112 in words is "one trillion, two hundred fifty-seven billion, thirty-one million, seven hundred six thousand, one hundred twelve".