12642500 has 60 divisors (see below), whose sum is σ = 29849820. Its totient is φ = 4656000.

The previous prime is 12642499. The next prime is 12642503. The reversal of 12642500 is 524621.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 12292036 + 350464 = 3506^2 + 592^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12642503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32306 + ... + 32694.

It is an arithmetic number, because the mean of its divisors is an integer number (497497).

Almost surely, 2^12642500 is an apocalyptic number.

12642500 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 12642500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14924910).

12642500 is an abundant number, since it is smaller than the sum of its proper divisors (17207320).

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

12642500 is a wasteful number, since it uses less digits than its factorization.

12642500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 12642500 is about 3555.6293395122. The cubic root of 12642500 is about 232.9580133964.

The spelling of 12642500 in words is "twelve million, six hundred forty-two thousand, five hundred".