42021120 has 144 divisors (see below), whose sum is σ = 138926592. Its totient is φ = 10813440.

The previous prime is 42021073. The next prime is 42021121. The reversal of 42021120 is 2112024.

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 = 42021096 and 42021105.

It is not an unprimeable number, because it can be changed into a prime (42021121) 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, 118864 + ... + 119216.

It is an arithmetic number, because the mean of its divisors is an integer number (964768).

Almost surely, 2^42021120 is an apocalyptic number.

42021120 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 42021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69463296).

42021120 is an abundant number, since it is smaller than the sum of its proper divisors (96905472).

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

42021120 is a wasteful number, since it uses less digits than its factorization.

42021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

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

The square root of 42021120 is about 6482.3699369906. The cubic root of 42021120 is about 347.6609195526.

Adding to 42021120 its reverse (2112024), we get a palindrome (44133144).

The spelling of 42021120 in words is "forty-two million, twenty-one thousand, one hundred twenty".