24100113120 has 96 divisors (see below), whose sum is σ = 75937720320. Its totient is φ = 6424803840.

The previous prime is 24100113101. The next prime is 24100113139. The reversal of 24100113120 is 2131100142.

It is an interprime number because it is at equal distance from previous prime (24100113101) and next prime (24100113139).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×24100113120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 24100113120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2529165 + ... + 2538675.

It is an arithmetic number, because the mean of its divisors is an integer number (791017920).

Almost surely, 2^24100113120 is an apocalyptic number.

24100113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24100113120 is an abundant number, since it is smaller than the sum of its proper divisors (51837607200).

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

24100113120 is a wasteful number, since it uses less digits than its factorization.

24100113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14808 (or 14800 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 24100113120 its reverse (2131100142), we get a palindrome (26231213262).

The spelling of 24100113120 in words is "twenty-four billion, one hundred million, one hundred thirteen thousand, one hundred twenty".