120671714741760 has 4800 divisors, whose sum is σ = 580212697439232. Its totient is φ = 22578774147072.

The previous prime is 120671714741759. The next prime is 120671714741761. The reversal of 120671714741760 is 67147417176021.

120671714741760 is a `hidden beast` number, since 1 + 2 + 0 + 67 + 1 + 71 + 47 + 417 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (120671714741759) and next prime (120671714741761).

It is a junction number, because it is equal to n+sod(n) for n = 120671714741697 and 120671714741706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120671714741761) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1801070369247 + ... + 1801070369313.

Almost surely, 2^{120671714741760} is an apocalyptic number.

120671714741760 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 120671714741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290106348719616).

120671714741760 is an abundant number, since it is smaller than the sum of its proper divisors (459540982697472).

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

120671714741760 is an equidigital number, since it uses as much as digits as its factorization.

120671714741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 120671714741760 in words is "one hundred twenty trillion, six hundred seventy-one billion, seven hundred fourteen million, seven hundred forty-one thousand, seven hundred sixty".