42021000120 has 256 divisors, whose sum is σ = 138870650880. Its totient is φ = 10087731200.

The previous prime is 42021000103. The next prime is 42021000143. The reversal of 42021000120 is 2100012024.

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 = 42021000096 and 42021000105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97496305 + ... + 97496735.

It is an arithmetic number, because the mean of its divisors is an integer number (542463480).

Almost surely, 2^42021000120 is an apocalyptic number.

42021000120 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 42021000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69435325440).

42021000120 is an abundant number, since it is smaller than the sum of its proper divisors (96849650760).

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

42021000120 is a wasteful number, since it uses less digits than its factorization.

42021000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1002 counting only the distinct ones).

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

Adding to 42021000120 its reverse (2100012024), we get a palindrome (44121012144).

The spelling of 42021000120 in words is "forty-two billion, twenty-one million, one hundred twenty", and thus it is an aban number.