12602500 has 45 divisors (see below), whose sum is σ = 27952771. Its totient is φ = 4970000.

The previous prime is 12602467. The next prime is 12602503. The reversal of 12602500 is 520621.

It is a happy number.

The square root of 12602500 is 3550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 988036 + 11614464 = 994^2 + 3408^2 .

It is not an unprimeable number, because it can be changed into a prime (12602503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 177465 + ... + 177535.

Almost surely, 2^12602500 is an apocalyptic number.

12602500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12602500 is the 3550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12602500

12602500 is an abundant number, since it is smaller than the sum of its proper divisors (15350271).

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

12602500 is an frugal number, since it uses more digits than its factorization.

12602500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The cubic root of 12602500 is about 232.7120661192.

Multiplying 12602500 by its sum of digits (16), we get a square (201640000 = 14200²).

The spelling of 12602500 in words is "twelve million, six hundred two thousand, five hundred".