42120120 has 128 divisors (see below), whose sum is σ = 148055040. Its totient is φ = 9384960.

The previous prime is 42120119. The next prime is 42120157. The reversal of 42120120 is 2102124.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 42120096 and 42120105.

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, 33829 + ... + 35051.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 2^42120120 is an apocalyptic number.

42120120 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 42120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027520).

42120120 is an abundant number, since it is smaller than the sum of its proper divisors (105934920).

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

42120120 is a wasteful number, since it uses less digits than its factorization.

42120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 42120120 is about 6490.0015408319. The cubic root of 42120120 is about 347.9337302797.

Adding to 42120120 its reverse (2102124), we get a palindrome (44222244).

The spelling of 42120120 in words is "forty-two million, one hundred twenty thousand, one hundred twenty".