120007643040000 has 2025 divisors, whose sum is σ = 477677400440317. Its totient is φ = 29951299584000.

The previous prime is 120007643039989. The next prime is 120007643040067. The reversal of 120007643040000 is 40346700021.

The square root of 120007643040000 is 10954800.

It is a perfect power (a square), and thus also a powerful number.

120007643040000 is a `hidden beast` number, since 12 + 0 + 0 + 0 + 7 + 643 + 0 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 58606251542784 + 61401391497216 = 7655472^2 + 7835904^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 670433759911 + ... + 670433760089.

Almost surely, 2^{120007643040000} is an apocalyptic number.

120007643040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120007643040000 is the 10954800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120007643040000

120007643040000 is an abundant number, since it is smaller than the sum of its proper divisors (357669757400317).

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

120007643040000 is an frugal number, since it uses more digits than its factorization.

120007643040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 120007643040000 its reverse (40346700021), we get a palindrome (120047989740021).

The spelling of 120007643040000 in words is "one hundred twenty trillion, seven billion, six hundred forty-three million, forty thousand".