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122027374120 = 23513782926861
BaseRepresentation
bin111000110100101100…
…1011111011000101000
3102122222022000212221211
41301221121133120220
53444403001432440
6132020354042504
711546644365061
oct1615131373050
9378868025854
10122027374120
114782a2a9323
121b796879434
13b679227422
145c986c9568
153292e73eea
hex1c6965f628

122027374120 has 64 divisors (see below), whose sum is σ = 276909613200. Its totient is φ = 48394414080.

The previous prime is 122027374103. The next prime is 122027374159. The reversal of 122027374120 is 21473720221.

It can be written as a sum of positive squares in 8 ways, for example, as 26597043396 + 95430330724 = 163086^2 + 308918^2 .

It is an unprimeable number.

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, 4529490 + ... + 4556350.

Almost surely, 2122027374120 is an apocalyptic number.

122027374120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122027374120 is an abundant number, since it is smaller than the sum of its proper divisors (154882239080).

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

122027374120 is a wasteful number, since it uses less digits than its factorization.

122027374120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27838 (or 27834 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 122027374120 in words is "one hundred twenty-two billion, twenty-seven million, three hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 829 1096 1370 1658 2740 3316 4145 5480 6632 8290 16580 26861 33160 53722 107444 113573 134305 214888 227146 268610 454292 537220 567865 908584 1074440 1135730 2271460 3679957 4542920 7359914 14719828 18399785 22267769 29439656 36799570 44535538 73599140 89071076 111338845 147198280 178142152 222677690 445355380 890710760 3050684353 6101368706 12202737412 15253421765 24405474824 30506843530 61013687060 122027374120