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1212022120100 = 2252111963799091
BaseRepresentation
bin10001101000110010001…
…001011101111010100100
311021212102220110002101212
4101220302021131322210
5124324210130320400
62324443440210552
7153365016015611
oct21506211357244
94255386402355
101212022120100
11428019986940
12176a93909a58
138a3a71c593c
144293b063508
15217da37a335
hex11a3225dea4

1212022120100 has 144 divisors (see below), whose sum is σ = 3021002476800. Its totient is φ = 417427344000.

The previous prime is 1212022120079. The next prime is 1212022120121. The reversal of 1212022120100 is 10212202121.

It is an interprime number because it is at equal distance from previous prime (1212022120079) and next prime (1212022120121).

It is a super-2 number, since 2×12120221201002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133316555 + ... + 133325645.

Almost surely, 21212022120100 is an apocalyptic number.

1212022120100 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 1212022120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510501238400).

1212022120100 is an abundant number, since it is smaller than the sum of its proper divisors (1808980356700).

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

1212022120100 is a wasteful number, since it uses less digits than its factorization.

1212022120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15514 (or 15507 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1212022120100 its reverse (10212202121), we get a palindrome (1222234322221).

The spelling of 1212022120100 in words is "one trillion, two hundred twelve billion, twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 6379 9091 10450 12758 18182 20900 25516 31895 36364 45455 63790 70169 90910 100001 121201 127580 140338 159475 172729 181820 200002 227275 242402 280676 318950 345458 350845 400004 454550 484804 500005 606005 637900 690916 701690 863645 909100 1000010 1212010 1333211 1403380 1727290 1754225 1900019 2000020 2424020 2500025 2666422 3030025 3454580 3508450 3800038 4318225 5000050 5332844 6060050 6666055 7016900 7600076 8636450 9500095 10000100 12120100 13332110 17272900 19000190 26664220 33330275 38000380 47500475 57991489 66660550 95000950 115982978 133321100 190001900 231965956 289957445 579914890 637906379 1101838291 1159829780 1275812758 1449787225 2203676582 2551625516 2899574450 3189531895 4407353164 5509191455 5799148900 6379063790 11018382910 12120221201 12758127580 15947659475 22036765820 24240442402 27545957275 31895318950 48480884804 55091914550 60601106005 63790637900 110183829100 121202212010 242404424020 303005530025 606011060050 1212022120100