120225420 has 216 divisors, whose sum is σ = 435459024. Its totient is φ = 26756352.

The previous prime is 120225401. The next prime is 120225431. The reversal of 120225420 is 24522021.

120225420 is a `hidden beast` number, since 1 + 20 + 225 + 420 = 666.

It is a super-2 number, since 2×120225420² = 28908303228352800, which contains 22 as substring.

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 = 120225393 and 120225402.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 379102 + ... + 379418.

It is an arithmetic number, because the mean of its divisors is an integer number (2016014).

Almost surely, 2^120225420 is an apocalyptic number.

120225420 is a gapful number since it is divisible by the number (10) 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 120225420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217729512).

120225420 is an abundant number, since it is smaller than the sum of its proper divisors (315233604).

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

120225420 is a wasteful number, since it uses less digits than its factorization.

120225420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 120225420 is about 10964.7352909224. The cubic root of 120225420 is about 493.5510736336.

Adding to 120225420 its reverse (24522021), we get a palindrome (144747441).

The spelling of 120225420 in words is "one hundred twenty million, two hundred twenty-five thousand, four hundred twenty".