120007648918080 has 2688 divisors, whose sum is σ = 550683574272000. Its totient is φ = 23235553935360.

The previous prime is 120007648918063. The next prime is 120007648918103. The reversal of 120007648918080 is 80819846700021.

120007648918080 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 7 + 6 + 489 + 1 + 80 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115503030201 + ... + 115503031239.

Almost surely, 2^{120007648918080} is an apocalyptic number.

120007648918080 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 120007648918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275341787136000).

120007648918080 is an abundant number, since it is smaller than the sum of its proper divisors (430675925353920).

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

120007648918080 is a wasteful number, since it uses less digits than its factorization.

120007648918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 120007648918080 in words is "one hundred twenty trillion, seven billion, six hundred forty-eight million, nine hundred eighteen thousand, eighty".