12142592 has 108 divisors (see below), whose sum is σ = 31044195. Its totient is φ = 4730880.

The previous prime is 12142589. The next prime is 12142609. The reversal of 12142592 is 29524121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6071296 + 6071296 = 2464^2 + 2464^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2464.

Its product of digits (1440) is a multiple of the sum of its prime divisors (20).

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1103867 + ... + 1103877.

Almost surely, 2^12142592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142592

12142592 is an abundant number, since it is smaller than the sum of its proper divisors (18901603).

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

12142592 is an equidigital number, since it uses as much as digits as its factorization.

12142592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 20 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 12142592 is about 3484.6222176873. The cubic root of 12142592 is about 229.8460974184.

It can be divided in two parts, 121 and 42592, that multiplied together give a 5-th power (5153632 = 22⁵).

The spelling of 12142592 in words is "twelve million, one hundred forty-two thousand, five hundred ninety-two".