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12112210220010 = 23531199308921187
BaseRepresentation
bin1011000001000001011111…
…1111001101001111101010
31120212220201202101220000220
42300100113333031033222
53041421301304020020
641432134512310510
72360035601106045
oct260202777151752
946786652356026
1012112210220010
11394a8399a4a1a
121437516842436
1369b23aa88b84
142dc33c53dc5c
151600ee0a3240
hexb0417fcd3ea

12112210220010 has 128 divisors (see below), whose sum is σ = 30168999936000. Its totient is φ = 3108870927360.

The previous prime is 12112210220003. The next prime is 12112210220027. The reversal of 12112210220010 is 1002201221121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 571670637 + ... + 571691823.

It is an arithmetic number, because the mean of its divisors is an integer number (235695312000).

Almost surely, 212112210220010 is an apocalyptic number.

12112210220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112210220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15084499968000).

12112210220010 is an abundant number, since it is smaller than the sum of its proper divisors (18056789715990).

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

12112210220010 is a wasteful number, since it uses less digits than its factorization.

12112210220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24516.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12112210220010 its reverse (1002201221121), we get a palindrome (13114411441131).

The spelling of 12112210220010 in words is "twelve trillion, one hundred twelve billion, two hundred ten million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 199 310 398 465 597 930 995 1194 1990 2985 3089 5970 6169 6178 9267 12338 15445 18507 18534 21187 30845 30890 37014 42374 46335 61690 63561 92535 92670 95759 105935 127122 185070 191518 211870 287277 317805 478795 574554 614711 635610 656797 957590 1229422 1313594 1436385 1844133 1970391 2872770 3073555 3283985 3688266 3940782 4216213 6147110 6567970 8432426 9220665 9851955 12648639 18441330 19056041 19703910 21081065 25297278 38112082 42162130 57168123 63243195 65446643 95280205 114336246 126486390 130702603 130893286 190560410 196339929 261405206 285840615 327233215 392107809 392679858 571681230 653513015 654466430 784215618 981699645 1307026030 1960539045 1963399290 2028845933 3921078090 4057691866 6086537799 10144229665 12173075598 13023881957 20288459330 26047763914 30432688995 39071645871 60865377990 65119409785 78143291742 130238819570 195358229355 390716458710 403740340667 807480681334 1211221022001 2018701703335 2422442044002 4037403406670 6056105110005 12112210220010