24142114222122 has 128 divisors (see below), whose sum is σ = 55917054627840. Its totient is φ = 6885512075520.

The previous prime is 24142114222091. The next prime is 24142114222133. The reversal of 24142114222122 is 22122241124142.

It is a super-2 number, since 2×24142114222122² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 24142114222122.

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 63 ways as a sum of consecutive naturals, for example, 231965448 + ... + 232069500.

It is an arithmetic number, because the mean of its divisors is an integer number (436851989280).

Almost surely, 2^{24142114222122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24142114222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27958527313920).

24142114222122 is an abundant number, since it is smaller than the sum of its proper divisors (31774940405718).

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

24142114222122 is a wasteful number, since it uses less digits than its factorization.

24142114222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107468.

The product of its digits is 8192, while the sum is 30.

Adding to 24142114222122 its reverse (22122241124142), we get a palindrome (46264355346264).

The spelling of 24142114222122 in words is "twenty-four trillion, one hundred forty-two billion, one hundred fourteen million, two hundred twenty-two thousand, one hundred twenty-two".