24142140120 has 128 divisors (see below), whose sum is σ = 82923264000. Its totient is φ = 5508189696.

The previous prime is 24142140119. The next prime is 24142140133. The reversal of 24142140120 is 2104124142.

It is a super-2 number, since 2×24142140120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442081 + ... + 493679.

It is an arithmetic number, because the mean of its divisors is an integer number (647838000).

Almost surely, 2^24142140120 is an apocalyptic number.

24142140120 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 24142140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41461632000).

24142140120 is an abundant number, since it is smaller than the sum of its proper divisors (58781123880).

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

24142140120 is a wasteful number, since it uses less digits than its factorization.

24142140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52177 (or 52173 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 24142140120 its reverse (2104124142), we get a palindrome (26246264262).

The spelling of 24142140120 in words is "twenty-four billion, one hundred forty-two million, one hundred forty thousand, one hundred twenty".