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120998480064 = 26373111959149
BaseRepresentation
bin111000010110000010…
…0100100100011000000
3102120022120222122122120
41300230010210203000
53440301102330224
6131330321204240
711512312053000
oct1605404444300
9376276878576
10120998480064
114735153aa60
121b54a190680
13b544011787
145bdbbba000
153232986779
hex1c2c1248c0

120998480064 has 896 divisors, whose sum is σ = 438912000000. Its totient is φ = 29072977920.

The previous prime is 120998480051. The next prime is 120998480069. The reversal of 120998480064 is 460084899021.

It is a junction number, because it is equal to n+sod(n) for n = 120998479989 and 120998480016.

It is not an unprimeable number, because it can be changed into a prime (120998480069) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 812070262 + ... + 812070410.

Almost surely, 2120998480064 is an apocalyptic number.

120998480064 is a gapful number since it is divisible by the number (14) 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 120998480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219456000000).

120998480064 is an abundant number, since it is smaller than the sum of its proper divisors (317913519936).

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

120998480064 is a wasteful number, since it uses less digits than its factorization.

120998480064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 120998480064 in words is "one hundred twenty billion, nine hundred ninety-eight million, four hundred eighty thousand, sixty-four".