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1212220010100 = 22352111753209549
BaseRepresentation
bin10001101000111101111…
…100010110111001110100
311021212221200210221110010
4101220331330112321310
5124330111310310400
62324515225500220
7153402641034441
oct21507574267164
94255850727403
101212220010100
114281106585a0
12176b2a041670
138a4091c1708
14429594569c8
15217ec919450
hex11a3df16e74

1212220010100 has 144 divisors (see below), whose sum is σ = 3828408091200. Its totient is φ = 293702476800.

The previous prime is 1212220010081. The next prime is 1212220010107. The reversal of 1212220010100 is 10100222121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212220010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5680126 + ... + 5889674.

It is an arithmetic number, because the mean of its divisors is an integer number (26586167300).

Almost surely, 21212220010100 is an apocalyptic number.

1212220010100 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 1212220010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914204045600).

1212220010100 is an abundant number, since it is smaller than the sum of its proper divisors (2616188081100).

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

1212220010100 is a wasteful number, since it uses less digits than its factorization.

1212220010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211330 (or 211323 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1212220010100 its reverse (10100222121), we get a palindrome (1222320232221).

The spelling of 1212220010100 in words is "one trillion, two hundred twelve billion, two hundred twenty million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 1753 3300 3506 5259 7012 8765 10518 17530 19283 21036 26295 35060 38566 43825 52590 57849 77132 87650 96415 105180 115698 131475 175300 192830 209549 231396 262950 289245 385660 419098 482075 525900 578490 628647 838196 964150 1047745 1156980 1257294 1446225 1928300 2095490 2305039 2514588 2892450 3143235 4190980 4610078 5238725 5784900 6286470 6915117 9220156 10477450 11525195 12572940 13830234 15716175 20954900 23050390 27660468 31432350 34575585 46100780 57625975 62864700 69151170 115251950 138302340 172877925 230503900 345755850 367339397 691511700 734678794 1102018191 1469357588 1836696985 2204036382 3673393970 4040733367 4408072764 5510090955 7346787940 8081466734 9183484925 11020181910 12122200101 16162933468 18366969850 20203666835 22040363820 24244400202 27550454775 36733939700 40407333670 48488800404 55100909550 60611000505 80814667340 101018334175 110201819100 121222001010 202036668350 242444002020 303055002525 404073336700 606110005050 1212220010100