120241271995920 has 960 divisors, whose sum is σ = 453691111910400. Its totient is φ = 28389532631040.

The previous prime is 120241271995909. The next prime is 120241271995931. The reversal of 120241271995920 is 29599172142021.

120241271995920 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 41 + 2 + 7 + 1 + 9 + 9 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120241271995909) and next prime (120241271995931).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11977410261 + ... + 11977420299.

It is an arithmetic number, because the mean of its divisors is an integer number (472594908240).

Almost surely, 2^{120241271995920} is an apocalyptic number.

120241271995920 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 120241271995920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226845555955200).

120241271995920 is an abundant number, since it is smaller than the sum of its proper divisors (333449839914480).

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

120241271995920 is a wasteful number, since it uses less digits than its factorization.

120241271995920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10968 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 120241271995920 in words is "one hundred twenty trillion, two hundred forty-one billion, two hundred seventy-one million, nine hundred ninety-five thousand, nine hundred twenty".