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122314952088 = 23327242182351
BaseRepresentation
bin111000111101010001…
…0100000110110011000
3102200201100011100202200
41301322202200312120
54001000111431323
6132105105530200
711560035636600
oct1617242406630
9380640140680
10122314952088
114796766896a
121b857043960
13b6c39960c4
145cc4987c00
1532ad32c443
hex1c7a8a0d98

122314952088 has 144 divisors (see below), whose sum is σ = 386274526560. Its totient is φ = 34863696000.

The previous prime is 122314952059. The next prime is 122314952113. The reversal of 122314952088 is 880259413221.

122314952088 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 49 + 520 + 88 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1444113 + ... + 1526463.

It is an arithmetic number, because the mean of its divisors is an integer number (2682461990).

Almost surely, 2122314952088 is an apocalyptic number.

122314952088 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 122314952088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193137263280).

122314952088 is an abundant number, since it is smaller than the sum of its proper divisors (263959574472).

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

122314952088 is a wasteful number, since it uses less digits than its factorization.

122314952088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82798 (or 82784 counting only the distinct ones).

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

The spelling of 122314952088 in words is "one hundred twenty-two billion, three hundred fourteen million, nine hundred fifty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 421 441 504 588 842 882 1176 1263 1684 1764 2526 2947 3368 3528 3789 5052 5894 7578 8841 10104 11788 15156 17682 20629 23576 26523 30312 35364 41258 53046 61887 70728 82351 82516 106092 123774 164702 165032 185661 212184 247053 247548 329404 371322 494106 495096 576457 658808 741159 742644 988212 1152914 1482318 1485288 1729371 1976424 2305828 2964636 3458742 4035199 4611656 5188113 5929272 6917484 8070398 10376226 12105597 13834968 16140796 20752452 24211194 32281592 34669771 36316791 41504904 48422388 69339542 72633582 96844776 104009313 138679084 145267164 208018626 242688397 277358168 290534328 312027939 416037252 485376794 624055878 728065191 832074504 970753588 1248111756 1456130382 1698818779 1941507176 2184195573 2496223512 2912260764 3397637558 4368391146 5096456337 5824521528 6795275116 8736782292 10192912674 13590550232 15289369011 17473564584 20385825348 30578738022 40771650696 61157476044 122314952088