120478224672 has 288 divisors, whose sum is σ = 376314120000. Its totient is φ = 36335609856.

The previous prime is 120478224649. The next prime is 120478224673. The reversal of 120478224672 is 276422874021.

120478224672 is a `hidden beast` number, since 120 + 47 + 8 + 22 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (120478224673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110226558 + ... + 110227650.

It is an arithmetic number, because the mean of its divisors is an integer number (1306646250).

Almost surely, 2^120478224672 is an apocalyptic number.

120478224672 is a gapful number since it is divisible by the number (12) 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 120478224672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188157060000).

120478224672 is an abundant number, since it is smaller than the sum of its proper divisors (255835895328).

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

120478224672 is a wasteful number, since it uses less digits than its factorization.

120478224672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 120478224672 in words is "one hundred twenty billion, four hundred seventy-eight million, two hundred twenty-four thousand, six hundred seventy-two".