421125120 has 528 divisors, whose sum is σ = 1698846240. Its totient is φ = 95551488.

The previous prime is 421125109. The next prime is 421125137. The reversal of 421125120 is 21521124.

421125120 is a `hidden beast` number, since 42 + 112 + 512 + 0 = 666.

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 = 421125093 and 421125102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11381742 + ... + 11381778.

Almost surely, 2^421125120 is an apocalyptic number.

421125120 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 421125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849423120).

421125120 is an abundant number, since it is smaller than the sum of its proper divisors (1277721120).

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

421125120 is a wasteful number, since it uses less digits than its factorization.

421125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 421125120 is about 20521.3332900180. Note that the first 3 decimals coincide. The cubic root of 421125120 is about 749.5553631161. Note that the first 3 decimals are identical.

Adding to 421125120 its reverse (21521124), we get a palindrome (442646244).

The spelling of 421125120 in words is "four hundred twenty-one million, one hundred twenty-five thousand, one hundred twenty".