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120067063116 = 2237111323716121
BaseRepresentation
bin110111111010010001…
…1011111110101001100
3102110220200100202210120
41233310203133311030
53431344132004431
6131054045504540
711450242124460
oct1576443376514
9373820322716
10120067063116
1146a137aa690
121b32a272150
13b4260681a0
145b502024a0
1531cad01196
hex1bf48dfd4c

120067063116 has 384 divisors, whose sum is σ = 398102003712. Its totient is φ = 27143424000.

The previous prime is 120067063079. The next prime is 120067063117. The reversal of 120067063116 is 611360760021.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (120067063117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19612536 + ... + 19618656.

It is an arithmetic number, because the mean of its divisors is an integer number (1036723968).

Almost surely, 2120067063116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120067063116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199051001856).

120067063116 is an abundant number, since it is smaller than the sum of its proper divisors (278034940596).

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

120067063116 is a wasteful number, since it uses less digits than its factorization.

120067063116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 120067063116 in words is "one hundred twenty billion, sixty-seven million, sixty-three thousand, one hundred sixteen".