24121244212142 has 64 divisors (see below), whose sum is σ = 48694301107200. Its totient is φ = 8679308225280.

The previous prime is 24121244212141. The next prime is 24121244212147.

24121244212142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24121244212099 and 24121244212108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24121244212141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117312167 + ... + 117517602.

It is an arithmetic number, because the mean of its divisors is an integer number (760848454800).

Almost surely, 2^{24121244212142} is an apocalyptic number.

24121244212142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24121244212142 is an abundant number, since it is smaller than the sum of its proper divisors (24573056895058).

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

24121244212142 is a wasteful number, since it uses less digits than its factorization.

24121244212142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234829841.

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 2412124 and 4212142, that added together give a palindrome (6624266).

The spelling of 24121244212142 in words is "twenty-four trillion, one hundred twenty-one billion, two hundred forty-four million, two hundred twelve thousand, one hundred forty-two".