24134122420 has 96 divisors (see below), whose sum is σ = 54488125440. Its totient is φ = 8947169280.

The previous prime is 24134122391. The next prime is 24134122427. The reversal of 24134122420 is 2422143142.

It is a super-5 number, since 5×24134122420⁵ (a number of 53 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24134122427) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6000010 + ... + 6004030.

It is an arithmetic number, because the mean of its divisors is an integer number (567584640).

Almost surely, 2^24134122420 is an apocalyptic number.

24134122420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24134122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27244062720).

24134122420 is an abundant number, since it is smaller than the sum of its proper divisors (30354003020).

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

24134122420 is a wasteful number, since it uses less digits than its factorization.

24134122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 24134122420 its reverse (2422143142), we get a palindrome (26556265562).

The spelling of 24134122420 in words is "twenty-four billion, one hundred thirty-four million, one hundred twenty-two thousand, four hundred twenty".