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122100022000 = 24531153104717
BaseRepresentation
bin111000110110110111…
…0100111101011110000
3102200011100201210010001
41301231232213223300
54000030101201000
6132031511115344
711551516030345
oct1615556475360
9380140653101
10122100022000
11478673087a0
121b7b7072b54
13b68b2b2238
145ca41da7cc
15329952446a
hex1c6dba7af0

122100022000 has 160 divisors (see below), whose sum is σ = 328157728704. Its totient is φ = 43561856000.

The previous prime is 122100021971. The next prime is 122100022043. The reversal of 122100022000 is 220001221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 1113642 + ... + 1218358.

Almost surely, 2122100022000 is an apocalyptic number.

122100022000 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 122100022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164078864352).

122100022000 is an abundant number, since it is smaller than the sum of its proper divisors (206057706704).

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

122100022000 is a wasteful number, since it uses less digits than its factorization.

122100022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104804 (or 104788 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122100022000 its reverse (220001221), we get a palindrome (122320023221).

The spelling of 122100022000 in words is "one hundred twenty-two billion, one hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 53 55 80 88 100 106 110 125 176 200 212 220 250 265 275 400 424 440 500 530 550 583 848 880 1000 1060 1100 1166 1325 1375 2000 2120 2200 2332 2650 2750 2915 4240 4400 4664 5300 5500 5830 6625 9328 10600 11000 11660 13250 14575 21200 22000 23320 26500 29150 46640 53000 58300 72875 104717 106000 116600 145750 209434 233200 291500 418868 523585 583000 837736 1047170 1151887 1166000 1675472 2094340 2303774 2617925 4188680 4607548 5235850 5550001 5759435 8377360 9215096 10471700 11100002 11518870 13089625 18430192 20943400 22200004 23037740 26179250 27750005 28797175 41886800 44400008 46075480 52358500 55500010 57594350 61050011 88800016 92150960 104717000 111000020 115188700 122100022 138750025 143985875 209434000 222000040 230377400 244200044 277500050 287971750 305250055 444000080 460754800 488400088 555000100 575943500 610500110 693750125 976800176 1110000200 1151887000 1221000220 1387500250 1526250275 2220000400 2303774000 2442000440 2775000500 3052500550 4884000880 5550001000 6105001100 7631251375 11100002000 12210002200 15262502750 24420004400 30525005500 61050011000 122100022000