42225120 has 288 divisors, whose sum is σ = 169827840. Its totient is φ = 9354240.

The previous prime is 42225107. The next prime is 42225133. The reversal of 42225120 is 2152224.

It is an interprime number because it is at equal distance from previous prime (42225107) and next prime (42225133).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 42225093 and 42225102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594685 + ... + 594755.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^42225120 is an apocalyptic number.

42225120 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 42225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

42225120 is an abundant number, since it is smaller than the sum of its proper divisors (127602720).

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

42225120 is a wasteful number, since it uses less digits than its factorization.

42225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42225120 is about 6498.0858720088. The cubic root of 42225120 is about 348.2226082654. Note that the first 3 decimals are identical.

Adding to 42225120 its reverse (2152224), we get a palindrome (44377344).

The spelling of 42225120 in words is "forty-two million, two hundred twenty-five thousand, one hundred twenty".