24192122129142 has 32 divisors (see below), whose sum is σ = 52791102895104. Its totient is φ = 7329794575200.

The previous prime is 24192122129141. The next prime is 24192122129159.

24192122129142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24192122129142² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24192122129094 and 24192122129103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24192122129141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28364709 + ... + 29205152.

It is an arithmetic number, because the mean of its divisors is an integer number (1649721965472).

Almost surely, 2^{24192122129142} is an apocalyptic number.

24192122129142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24192122129142 is an abundant number, since it is smaller than the sum of its proper divisors (28598980765962).

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

24192122129142 is a wasteful number, since it uses less digits than its factorization.

24192122129142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57576244.

The product of its digits is 82944, while the sum is 42.

The spelling of 24192122129142 in words is "twenty-four trillion, one hundred ninety-two billion, one hundred twenty-two million, one hundred twenty-nine thousand, one hundred forty-two".