12557000 has 64 divisors (see below), whose sum is σ = 30466800. Its totient is φ = 4838400.

The previous prime is 12556997. The next prime is 12557021. The reversal of 12557000 is 75521.

It can be written as a sum of positive squares in 8 ways, for example, as 11236 + 12545764 = 106^2 + 3542^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28784 + ... + 29216.

Almost surely, 2^12557000 is an apocalyptic number.

12557000 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 12557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233400).

12557000 is an abundant number, since it is smaller than the sum of its proper divisors (17909800).

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

12557000 is a wasteful number, since it uses less digits than its factorization.

12557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 12557000 is about 3543.5857545712. The cubic root of 12557000 is about 232.4316675899.

The spelling of 12557000 in words is "twelve million, five hundred fifty-seven thousand".