42210530120 has 256 divisors, whose sum is σ = 116074529280. Its totient is φ = 13624934400.

The previous prime is 42210530119. The next prime is 42210530147. The reversal of 42210530120 is 2103501224.

42210530120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42210530120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42210530092 and 42210530101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12557240 + ... + 12560600.

It is an arithmetic number, because the mean of its divisors is an integer number (453416130).

Almost surely, 2^42210530120 is an apocalyptic number.

42210530120 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 42210530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58037264640).

42210530120 is an abundant number, since it is smaller than the sum of its proper divisors (73863999160).

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

42210530120 is a wasteful number, since it uses less digits than its factorization.

42210530120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 42210530120 in words is "forty-two billion, two hundred ten million, five hundred thirty thousand, one hundred twenty".