24401123122122 has 192 divisors, whose sum is σ = 58117956938496. Its totient is φ = 7377468933120.

The previous prime is 24401123122111. The next prime is 24401123122127. The reversal of 24401123122122 is 22122132110442.

24401123122122 is a `hidden beast` number, since 2 + 4 + 401 + 1 + 2 + 31 + 221 + 2 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (24401123122127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96132808 + ... + 96386300.

It is an arithmetic number, because the mean of its divisors is an integer number (302697692388).

Almost surely, 2^{24401123122122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24401123122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29058978469248).

24401123122122 is an abundant number, since it is smaller than the sum of its proper divisors (33716833816374).

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

24401123122122 is a wasteful number, since it uses less digits than its factorization.

24401123122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253725 (or 253722 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 24401123122122 its reverse (22122132110442), we get a palindrome (46523255232564).

The spelling of 24401123122122 in words is "twenty-four trillion, four hundred one billion, one hundred twenty-three million, one hundred twenty-two thousand, one hundred twenty-two".