42120035120 has 80 divisors (see below), whose sum is σ = 100208586240. Its totient is φ = 16457248512.

The previous prime is 42120035117. The next prime is 42120035123. The reversal of 42120035120 is 2153002124.

42120035120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42120035117) and next prime (42120035123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42120035092 and 42120035101.

It is not an unprimeable number, because it can be changed into a prime (42120035123) 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, 1955771 + ... + 1977189.

It is an arithmetic number, because the mean of its divisors is an integer number (1252607328).

Almost surely, 2^42120035120 is an apocalyptic number.

42120035120 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 42120035120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50104293120).

42120035120 is an abundant number, since it is smaller than the sum of its proper divisors (58088551120).

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

42120035120 is a wasteful number, since it uses less digits than its factorization.

42120035120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22002 (or 21996 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 42120035120 its reverse (2153002124), we get a palindrome (44273037244).

The spelling of 42120035120 in words is "forty-two billion, one hundred twenty million, thirty-five thousand, one hundred twenty".