1257157120 has 80 divisors (see below), whose sum is σ = 3022842240. Its totient is φ = 501428224.

The previous prime is 1257157117. The next prime is 1257157133. The reversal of 1257157120 is 217517521.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1748121 + ... + 1748839.

It is an arithmetic number, because the mean of its divisors is an integer number (37785528).

Almost surely, 2^1257157120 is an apocalyptic number.

1257157120 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 1257157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511421120).

1257157120 is an abundant number, since it is smaller than the sum of its proper divisors (1765685120).

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

1257157120 is an frugal number, since it uses more digits than its factorization.

1257157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 31.

The square root of 1257157120 is about 35456.4115499581. The cubic root of 1257157120 is about 1079.2693732361.

The spelling of 1257157120 in words is "one billion, two hundred fifty-seven million, one hundred fifty-seven thousand, one hundred twenty".