1257230016 has 168 divisors, whose sum is σ = 4171614720. Its totient is φ = 354571776.

The previous prime is 1257230003. The next prime is 1257230059. The reversal of 1257230016 is 6100327521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 316555 + ... + 320501.

It is an arithmetic number, because the mean of its divisors is an integer number (24831040).

Almost surely, 2^1257230016 is an apocalyptic number.

1257230016 is a gapful number since it is divisible by the number (16) 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 1257230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085807360).

1257230016 is an abundant number, since it is smaller than the sum of its proper divisors (2914384704).

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

1257230016 is a wasteful number, since it uses less digits than its factorization.

1257230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1257230016 is about 35457.4395014643. The cubic root of 1257230016 is about 1079.2902332380.

Adding to 1257230016 its reverse (6100327521), we get a palindrome (7357557537).

The spelling of 1257230016 in words is "one billion, two hundred fifty-seven million, two hundred thirty thousand, sixteen".