12542500 has 60 divisors (see below), whose sum is σ = 28537740. Its totient is φ = 4816000.

The previous prime is 12542479. The next prime is 12542539. The reversal of 12542500 is 524521.

12542500 = T₂₉₁ + T₂₉₂ + ... + T₄₆₃.

12542500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 6666724 + 5875776 = 2582^2 + 2424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72414 + ... + 72586.

It is an arithmetic number, because the mean of its divisors is an integer number (475629).

Almost surely, 2^12542500 is an apocalyptic number.

12542500 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 12542500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268870).

12542500 is an abundant number, since it is smaller than the sum of its proper divisors (15995240).

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

12542500 is a wasteful number, since it uses less digits than its factorization.

12542500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 12542500 is about 3541.5392133930. The cubic root of 12542500 is about 232.3421675165.

The spelling of 12542500 in words is "twelve million, five hundred forty-two thousand, five hundred".