120225208320 has 864 divisors, whose sum is σ = 492300244800. Its totient is φ = 27051687936.

The previous prime is 120225208307. The next prime is 120225208387. The reversal of 120225208320 is 23802522021.

120225208320 is a `hidden beast` number, since 1 + 20 + 22 + 520 + 83 + 20 = 666.

It is a congruent number.

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, 356751192 + ... + 356751528.

It is an arithmetic number, because the mean of its divisors is an integer number (569791950).

Almost surely, 2^120225208320 is an apocalyptic number.

120225208320 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 120225208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246150122400).

120225208320 is an abundant number, since it is smaller than the sum of its proper divisors (372075036480).

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

120225208320 is a wasteful number, since it uses less digits than its factorization.

120225208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 120225208320 in words is "one hundred twenty billion, two hundred twenty-five million, two hundred eight thousand, three hundred twenty".