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122480058960 = 2433573165317
BaseRepresentation
bin111001000010001100…
…0010110001001010000
3102201010211211122211000
41302010120112021100
54001314343341320
6132133324422000
711564112216000
oct1620430261120
9381124748730
10122480058960
1147a41889126
121b8a23a7900
13b71bc5418c
145cdc886000
1532bca92c90
hex1c84616250

122480058960 has 320 divisors, whose sum is σ = 491986368000. Its totient is φ = 27995272704.

The previous prime is 122480058949. The next prime is 122480058979. The reversal of 122480058960 is 69850084221.

122480058960 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 8 + 0 + 0 + 589 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658222 + ... + 823538.

It is an arithmetic number, because the mean of its divisors is an integer number (1537457400).

Almost surely, 2122480058960 is an apocalyptic number.

122480058960 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 122480058960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245993184000).

122480058960 is an abundant number, since it is smaller than the sum of its proper divisors (369506309040).

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

122480058960 is a wasteful number, since it uses less digits than its factorization.

122480058960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165360 (or 165334 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 122480058960 in words is "one hundred twenty-two billion, four hundred eighty million, fifty-eight thousand, nine hundred sixty".