24125222252142 has 48 divisors (see below), whose sum is σ = 57048586058880. Its totient is φ = 7307425530000.

The previous prime is 24125222252113. The next prime is 24125222252149.

24125222252142 is a `hidden beast` number, since 2 + 4 + 125 + 2 + 2 + 2 + 2 + 521 + 4 + 2 = 666.

24125222252142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24125222252097 and 24125222252106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24125222252149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26618842 + ... + 27510237.

It is an arithmetic number, because the mean of its divisors is an integer number (1188512209560).

Almost surely, 2^{24125222252142} is an apocalyptic number.

24125222252142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24125222252142 is an abundant number, since it is smaller than the sum of its proper divisors (32923363806738).

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

24125222252142 is a wasteful number, since it uses less digits than its factorization.

24125222252142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54131349 (or 54131346 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 2412522 and 2252142, that added together give a palindrome (4664664).

The spelling of 24125222252142 in words is "twenty-four trillion, one hundred twenty-five billion, two hundred twenty-two million, two hundred fifty-two thousand, one hundred forty-two".