120225421885440 has 512 divisors, whose sum is σ = 412504342848000. Its totient is φ = 29792107757568.

The previous prime is 120225421885427. The next prime is 120225421885441. The reversal of 120225421885440 is 44588124522021.

120225421885440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 120225421885440.

It is not an unprimeable number, because it can be changed into a prime (120225421885441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660020296 + ... + 660202424.

It is an arithmetic number, because the mean of its divisors is an integer number (805672544625).

Almost surely, 2^{120225421885440} is an apocalyptic number.

120225421885440 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 120225421885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206252171424000).

120225421885440 is an abundant number, since it is smaller than the sum of its proper divisors (292278920962560).

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

120225421885440 is an equidigital number, since it uses as much as digits as its factorization.

120225421885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182263 (or 182235 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 48.

The spelling of 120225421885440 in words is "one hundred twenty trillion, two hundred twenty-five billion, four hundred twenty-one million, eight hundred eighty-five thousand, four hundred forty".