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122113322000 = 24531074011423
BaseRepresentation
bin111000110111010000…
…1010110110000010000
3102200012021202111021122
41301232201112300100
54000042002301000
6132033104141412
711552040053015
oct1615641266020
9380167674248
10122113322000
114787387222a
121b7bb607868
13b690c8ab67
145ca5c9d70c
15329a7a0085
hex1c6e856c10

122113322000 has 160 divisors (see below), whose sum is σ = 298982721024. Its totient is φ = 48234240000.

The previous prime is 122113321949. The next prime is 122113322027. The reversal of 122113322000 is 223311221.

It is a self number, because there is not a number n which added to its sum of digits gives 122113322000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85813289 + ... + 85814711.

Almost surely, 2122113322000 is an apocalyptic number.

122113322000 is a gapful number since it is divisible by the number (10) 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 122113322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149491360512).

122113322000 is an abundant number, since it is smaller than the sum of its proper divisors (176869399024).

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

122113322000 is a wasteful number, since it uses less digits than its factorization.

122113322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122113322000 its reverse (223311221), we get a palindrome (122336633221).

The spelling of 122113322000 in words is "one hundred twenty-two billion, one hundred thirteen million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 401 428 500 535 802 856 1000 1070 1423 1604 1712 2000 2005 2140 2675 2846 3208 4010 4280 5350 5692 6416 7115 8020 8560 10025 10700 11384 13375 14230 16040 20050 21400 22768 26750 28460 32080 35575 40100 42800 42907 50125 53500 56920 71150 80200 85814 100250 107000 113840 142300 152261 160400 171628 177875 200500 214000 214535 284600 304522 343256 355750 401000 429070 569200 570623 609044 686512 711500 761305 802000 858140 1072675 1141246 1218088 1423000 1522610 1716280 2145350 2282492 2436176 2846000 2853115 3045220 3432560 3806525 4290700 4564984 5363375 5706230 6090440 7613050 8581400 9129968 10726750 11412460 12180880 14265575 15226100 17162800 19032625 21453500 22824920 28531150 30452200 38065250 42907000 45649840 57062300 60904400 61056661 71327875 76130500 85814000 114124600 122113322 142655750 152261000 228249200 244226644 285311500 304522000 305283305 488453288 570623000 610566610 976906576 1141246000 1221133220 1526416525 2442266440 3052833050 4884532880 6105666100 7632082625 12211332200 15264165250 24422664400 30528330500 61056661000 122113322000