422120000 has 140 divisors (see below), whose sum is σ = 1070029356. Its totient is φ = 165120000.

The previous prime is 422119993. The next prime is 422120071. The reversal of 422120000 is 21224.

It can be written as a sum of positive squares in 10 ways, for example, as 345662464 + 76457536 = 18592^2 + 8744^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2439914 + ... + 2440086.

Almost surely, 2^422120000 is an apocalyptic number.

422120000 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 422120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535014678).

422120000 is an abundant number, since it is smaller than the sum of its proper divisors (647909356).

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

422120000 is an equidigital number, since it uses as much as digits as its factorization.

422120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 422120000 is about 20545.5591308682. The cubic root of 422120000 is about 750.1451570893.

Adding to 422120000 its reverse (21224), we get a palindrome (422141224).

The spelling of 422120000 in words is "four hundred twenty-two million, one hundred twenty thousand".