42122808 has 128 divisors (see below), whose sum is σ = 144076800. Its totient is φ = 11104128.

The previous prime is 42122803. The next prime is 42122813. The reversal of 42122808 is 80822124.

It is an interprime number because it is at equal distance from previous prime (42122803) and next prime (42122813).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42122803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18585 + ... + 20727.

It is an arithmetic number, because the mean of its divisors is an integer number (1125600).

Almost surely, 2^42122808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42122808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72038400).

42122808 is an abundant number, since it is smaller than the sum of its proper divisors (101953992).

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

42122808 is a wasteful number, since it uses less digits than its factorization.

42122808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 42122808 is about 6490.2086253063. The cubic root of 42122808 is about 347.9411315405.

The spelling of 42122808 in words is "forty-two million, one hundred twenty-two thousand, eight hundred eight".