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122143122240 = 2635937135787
BaseRepresentation
bin111000111000001001…
…1000010001101000000
3102200021100211111112020
41301300103002031000
54000122114402430
6132040051001440
711552551260126
oct1616023021500
9380240744466
10122143122240
1147889676627
121b809599280
13b6971c2c39
145ca9c19916
15329d1d9b10
hex1c704c2340

122143122240 has 112 divisors (see below), whose sum is σ = 388221150912. Its totient is φ = 32536498176.

The previous prime is 122143122191. The next prime is 122143122251. The reversal of 122143122240 is 42221341221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122143122240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831627 + ... + 967413.

It is an arithmetic number, because the mean of its divisors is an integer number (3466260276).

Almost surely, 2122143122240 is an apocalyptic number.

122143122240 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 122143122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194110575456).

122143122240 is an abundant number, since it is smaller than the sum of its proper divisors (266078028672).

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

122143122240 is a wasteful number, since it uses less digits than its factorization.

122143122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136744 (or 136734 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122143122240 its reverse (42221341221), we get a palindrome (164364463461).

The spelling of 122143122240 in words is "one hundred twenty-two billion, one hundred forty-three million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 937 960 1874 2811 3748 4685 5622 7496 9370 11244 14055 14992 18740 22488 28110 29984 37480 44976 56220 59968 74960 89952 112440 135787 149920 179904 224880 271574 299840 407361 449760 543148 678935 814722 899520 1086296 1357870 1629444 2036805 2172592 2715740 3258888 4073610 4345184 5431480 6517776 8147220 8690368 10862960 13035552 16294440 21725920 26071104 32588880 43451840 65177760 127232419 130355520 254464838 381697257 508929676 636162095 763394514 1017859352 1272324190 1526789028 1908486285 2035718704 2544648380 3053578056 3816972570 4071437408 5089296760 6107156112 7633945140 8142874816 10178593520 12214312224 15267890280 20357187040 24428624448 30535780560 40714374080 61071561120 122143122240