12145122542304 has 72 divisors (see below), whose sum is σ = 34539299645760. Its totient is φ = 4048185765888.

The previous prime is 12145122542299. The next prime is 12145122542321. The reversal of 12145122542304 is 40324522154121.

12145122542304 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 5 + 1 + 225 + 423 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×12145122542304³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5286912 + ... + 7227840.

It is an arithmetic number, because the mean of its divisors is an integer number (479712495080).

Almost surely, 2^{12145122542304} is an apocalyptic number.

It is an amenable number.

12145122542304 is an abundant number, since it is smaller than the sum of its proper divisors (22394177103456).

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

12145122542304 is a wasteful number, since it uses less digits than its factorization.

12145122542304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962672 (or 1962661 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 12145122542304 its reverse (40324522154121), we get a palindrome (52469644696425).

The spelling of 12145122542304 in words is "twelve trillion, one hundred forty-five billion, one hundred twenty-two million, five hundred forty-two thousand, three hundred four".