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122475640680 = 23335113403371
BaseRepresentation
bin111001000010000011…
…1011111011101101000
3102201010112112012002000
41302010013133131220
54001312231000210
6132133050011000
711564026524501
oct1620407373550
9381115465060
10122475640680
1147a3a340658
121b8a0a16a60
13b71b068103
145cdc055ba8
1532bc4bdac0
hex1c841df768

122475640680 has 64 divisors (see below), whose sum is σ = 408252139200. Its totient is φ = 32660170560.

The previous prime is 122475640673. The next prime is 122475640681. The reversal of 122475640680 is 86046574221.

122475640680 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 7 + 564 + 0 + 6 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122475640681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56700606 + ... + 56702765.

It is an arithmetic number, because the mean of its divisors is an integer number (6378939675).

Almost surely, 2122475640680 is an apocalyptic number.

122475640680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122475640680 is an abundant number, since it is smaller than the sum of its proper divisors (285776498520).

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

122475640680 is a wasteful number, since it uses less digits than its factorization.

122475640680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113403391 (or 113403381 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 122475640680 in words is "one hundred twenty-two billion, four hundred seventy-five million, six hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 113403371 226806742 340210113 453613484 567016855 680420226 907226968 1020630339 1134033710 1360840452 1701050565 2041260678 2268067420 2721680904 3061891017 3402101130 4082521356 4536134840 5103151695 6123782034 6804202260 8165042712 10206303390 12247564068 13608404520 15309455085 20412606780 24495128136 30618910170 40825213560 61237820340 122475640680