120225435840 has 336 divisors, whose sum is σ = 434291719680. Its totient is φ = 31652674560.

The previous prime is 120225435839. The next prime is 120225435893. The reversal of 120225435840 is 48534522021.

120225435840 is a `hidden beast` number, since 1 + 2 + 0 + 22 + 54 + 3 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120225435795 and 120225435804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6133255 + ... + 6152825.

It is an arithmetic number, because the mean of its divisors is an integer number (1292534880).

Almost surely, 2^120225435840 is an apocalyptic number.

120225435840 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 120225435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217145859840).

120225435840 is an abundant number, since it is smaller than the sum of its proper divisors (314066283840).

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

120225435840 is an equidigital number, since it uses as much as digits as its factorization.

120225435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19682 (or 19660 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 120225435840 its reverse (48534522021), we get a palindrome (168759957861).

The spelling of 120225435840 in words is "one hundred twenty billion, two hundred twenty-five million, four hundred thirty-five thousand, eight hundred forty".