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120212212101100 = 22527792239748069
BaseRepresentation
bin11011010101010100010110…
…001100110010111111101100
3120202122011201202021201210121
4123111110112030302333230
5111224024102244213400
61103400421114414324
734215021452242360
oct3325242614627754
9522564652251717
10120212212101100
1135337792894749
1211595b227313a4
13520cc69813972
142198432dc12a0
15dd6edec9521a
hex6d5516332fec

120212212101100 has 144 divisors (see below), whose sum is σ = 303253879398400. Its totient is φ = 40511410917120.

The previous prime is 120212212101071. The next prime is 120212212101101. The reversal of 120212212101100 is 1101212212021.

It is not an unprimeable number, because it can be changed into a prime (120212212101101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7457866 + ... + 17205934.

Almost surely, 2120212212101100 is an apocalyptic number.

120212212101100 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 120212212101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151626939699200).

120212212101100 is an abundant number, since it is smaller than the sum of its proper divisors (183041667297300).

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

120212212101100 is a wasteful number, since it uses less digits than its factorization.

120212212101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9748392 (or 9748385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120212212101100 its reverse (1101212212021), we get a palindrome (121313424313121).

The spelling of 120212212101100 in words is "one hundred twenty trillion, two hundred twelve billion, two hundred twelve million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 175 223 316 350 395 446 553 700 790 892 1106 1115 1561 1580 1975 2212 2230 2765 3122 3950 4460 5530 5575 6244 7805 7900 11060 11150 13825 15610 17617 22300 27650 31220 35234 39025 55300 70468 78050 88085 123319 156100 176170 246638 352340 440425 493276 616595 880850 1233190 1761700 2466380 3082975 6165950 9748069 12331900 19496138 38992276 48740345 68236483 97480690 136472966 194961380 243701725 272945932 341182415 487403450 682364830 770097451 974806900 1364729660 1540194902 1705912075 2173819387 3080389804 3411824150 3850487255 4347638774 5390682157 6823648300 7700974510 8695277548 10781364314 10869096935 15216735709 15401949020 19252436275 21562728628 21738193870 26953410785 30433471418 38504872550 43476387740 53906821570 54345484675 60866942836 76083678545 77009745100 107813643140 108690969350 134767053925 152167357090 171731731573 217381938700 269534107850 304334714180 343463463146 380418392725 539068215700 686926926292 760836785450 858658657865 1202122121011 1521673570900 1717317315730 2404244242022 3434634631460 4293293289325 4808488484044 6010610605055 8586586578650 12021221210110 17173173157300 24042442420220 30053053025275 60106106050550 120212212101100