42310122120 has 384 divisors, whose sum is σ = 166522262400. Its totient is φ = 9525745152.

The previous prime is 42310122109. The next prime is 42310122137. The reversal of 42310122120 is 2122101324.

It is a happy number.

42310122120 is a `hidden beast` number, since 423 + 1 + 0 + 1 + 221 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42310122093 and 42310122102.

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 95 ways as a sum of consecutive naturals, for example, 3539674 + ... + 3551606.

It is an arithmetic number, because the mean of its divisors is an integer number (433651725).

Almost surely, 2^42310122120 is an apocalyptic number.

42310122120 is a gapful number since it is divisible by the number (40) 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 42310122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83261131200).

42310122120 is an abundant number, since it is smaller than the sum of its proper divisors (124212140280).

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

42310122120 is a wasteful number, since it uses less digits than its factorization.

42310122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12034 (or 12017 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42310122120 its reverse (2122101324), we get a palindrome (44432223444).

The spelling of 42310122120 in words is "forty-two billion, three hundred ten million, one hundred twenty-two thousand, one hundred twenty".