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211220000120001 = 31922397101865537
BaseRepresentation
bin110000000001101001111101…
…000100111001110011000001
31000200212102201222022210020110
4300001221331010321303001
5210141112030012320001
62025121043431101533
762330066335621665
oct6001517504716301
91020772658283213
10211220000120001
1161334998634654
121b833a268118a9
1390b1c6441c522
143a231615948a5
1519644b495e3d6
hexc01a7d139cc1

211220000120001 has 96 divisors (see below), whose sum is σ = 316452547208448. Its totient is φ = 125036022988800.

The previous prime is 211220000119981. The next prime is 211220000120023. The reversal of 211220000120001 is 100021000022112.

It is not a de Polignac number, because 211220000120001 - 219 = 211219999595713 is a prime.

It is a super-2 number, since 2×2112200001200012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211220000120201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243600705 + ... + 244466241.

It is an arithmetic number, because the mean of its divisors is an integer number (3296380700088).

Almost surely, 2211220000120001 is an apocalyptic number.

It is an amenable number.

211220000120001 is a deficient number, since it is larger than the sum of its proper divisors (105232547088447).

211220000120001 is a wasteful number, since it uses less digits than its factorization.

211220000120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865799 (or 865780 counting only the distinct ones).

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

Adding to 211220000120001 its reverse (100021000022112), we get a palindrome (311241000142113).

The spelling of 211220000120001 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred twenty thousand, one".

Divisors: 1 3 19 23 57 69 97 101 291 303 361 437 1083 1311 1843 1919 2231 2323 5529 5757 6693 6969 8303 9797 24909 29391 35017 36461 42389 44137 105051 109383 127167 132411 186143 225331 558429 675993 805391 838603 865537 2416173 2515809 2596611 3536717 4281289 10610151 12843867 16445203 19907351 49335609 59722053 81344491 83957089 87419237 244033473 251871267 262257711 312458857 378239669 937376571 1134719007 1595184691 1660965503 1931013047 2010642451 4785554073 4982896509 5793039141 6031927353 7186553711 8479665989 21559661133 25438997967 30308509129 31558344557 36689247893 38202206569 90925527387 94675033671 110067743679 114606619707 161113653791 195032317747 483340961373 585096953241 697095709967 725841924811 2091287129901 2177525774433 3061159422029 3705614037193 9183478266087 11116842111579 70406666706667 211220000120001