42122160 has 80 divisors (see below), whose sum is σ = 145094880. Its totient is φ = 11232000.

The previous prime is 42122137. The next prime is 42122161. The reversal of 42122160 is 6122124.

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 (18).

It is not an unprimeable number, because it can be changed into a prime (42122161) 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, 7591 + ... + 11910.

It is an arithmetic number, because the mean of its divisors is an integer number (1813686).

Almost surely, 2^42122160 is an apocalyptic number.

42122160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42122160 is an abundant number, since it is smaller than the sum of its proper divisors (102972720).

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

42122160 is a wasteful number, since it uses less digits than its factorization.

42122160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19523 (or 19511 counting only the distinct ones).

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

The square root of 42122160 is about 6490.1587037606. The cubic root of 42122160 is about 347.9393473368.

Adding to 42122160 its reverse (6122124), we get a palindrome (48244284).

The spelling of 42122160 in words is "forty-two million, one hundred twenty-two thousand, one hundred sixty".