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122105892708 = 2232191259141793
BaseRepresentation
bin111000110111000010…
…1000000111101100100
3102200011202210001012200
41301232011000331210
54000033102031313
6132032241014500
711551616651202
oct1615605007544
9380152701180
10122105892708
114786a658518
121b7b9024430
13b68c589427
145ca4cc8072
153299cd3b73
hex1c6e140f64

122105892708 has 72 divisors (see below), whose sum is σ = 325162000800. Its totient is φ = 38528856576.

The previous prime is 122105892697. The next prime is 122105892721. The reversal of 122105892708 is 807298501221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790260 + ... + 932052.

It is an arithmetic number, because the mean of its divisors is an integer number (4516138900).

Almost surely, 2122105892708 is an apocalyptic number.

122105892708 is a gapful number since it is divisible by the number (18) 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 122105892708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162581000400).

122105892708 is an abundant number, since it is smaller than the sum of its proper divisors (203056108092).

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

122105892708 is a wasteful number, since it uses less digits than its factorization.

122105892708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143081 (or 143076 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 122105892708 in words is "one hundred twenty-two billion, one hundred five million, eight hundred ninety-two thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1259 2518 3777 5036 7554 11331 15108 22662 23921 45324 47842 71763 95684 141793 143526 215289 283586 287052 425379 430578 567172 850758 861156 1276137 1701516 2552274 2694067 5104548 5388134 8082201 10776268 16164402 24246603 32328804 48493206 96986412 178517387 357034774 535552161 714069548 1071104322 1606656483 2142208644 3213312966 3391830353 6426625932 6783660706 10175491059 13567321412 20350982118 30526473177 40701964236 61052946354 122105892708