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122314885408 = 2523412109907
BaseRepresentation
bin111000111101010001…
…0010000100100100000
3102200201100000222022001
41301322202100210200
54001000102313113
6132105104253344
711560035241312
oct1617242204440
9380640028261
10122314885408
1147967622861
121b857011254
13b6c3971951
145cc496b7b2
1532ad3177dd
hex1c7a890920

122314885408 has 144 divisors (see below), whose sum is σ = 260204978880. Its totient is φ = 56485693440.

The previous prime is 122314885397. The next prime is 122314885411. The reversal of 122314885408 is 804588413221.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134856091 + ... + 134856997.

It is an arithmetic number, because the mean of its divisors is an integer number (1806979020).

Almost surely, 2122314885408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122314885408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130102489440).

122314885408 is an abundant number, since it is smaller than the sum of its proper divisors (137890093472).

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

122314885408 is a wasteful number, since it uses less digits than its factorization.

122314885408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The spelling of 122314885408 in words is "one hundred twenty-two billion, three hundred fourteen million, eight hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 109 164 184 218 328 368 436 656 736 872 907 943 1312 1681 1744 1814 1886 2507 3362 3488 3628 3772 4469 5014 6724 7256 7544 8938 10028 13448 14512 15088 17876 20056 20861 26896 29024 30176 35752 37187 38663 40112 41722 53792 71504 74374 77326 80224 83444 98863 102787 143008 148748 154652 166888 183229 197726 205574 297496 309304 333776 366458 395452 411148 594992 618608 667552 732916 790904 822296 855301 1189984 1237216 1465832 1524667 1581808 1644592 1710602 2273849 2931664 3049334 3163616 3289184 3421204 4053383 4214267 4547698 5863328 6098668 6842408 8106766 8428534 9095396 12197336 13684816 16213532 16857068 18190792 24394672 27369632 32427064 33714136 35067341 36381584 48789344 64854128 67428272 70134682 72763168 93227809 129708256 134856544 140269364 166188703 186455618 280538728 332377406 372911236 561077456 664754812 745822472 1122154912 1329509624 1491644944 2659019248 2983289888 3822340169 5318038496 7644680338 15289360676 30578721352 61157442704 122314885408