120171623040 has 768 divisors, whose sum is σ = 485188704000. Its totient is φ = 26842890240.

The previous prime is 120171622969. The next prime is 120171623069. The reversal of 120171623040 is 40326171021.

120171623040 is a `hidden beast` number, since 1 + 20 + 17 + 1 + 623 + 0 + 4 + 0 = 666.

120171623040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 120171622995 and 120171623013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498637320 + ... + 498637560.

It is an arithmetic number, because the mean of its divisors is an integer number (631756125).

Almost surely, 2^120171623040 is an apocalyptic number.

120171623040 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 120171623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242594352000).

120171623040 is an abundant number, since it is smaller than the sum of its proper divisors (365017080960).

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

120171623040 is a wasteful number, since it uses less digits than its factorization.

120171623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 120171623040 its reverse (40326171021), we get a palindrome (160497794061).

The spelling of 120171623040 in words is "one hundred twenty billion, one hundred seventy-one million, six hundred twenty-three thousand, forty".