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211200012110120 = 235112936653451579
BaseRepresentation
bin110000000001010111010101…
…101100101100100100101000
31000200210112010222100200100012
4300001113111230230210220
5210140300111100010440
62025103540210431052
762325461120423465
oct6001272554544450
91020715128320305
10211200012110120
1161327470954a20
121b82bb88892488
1390b00ca382247
143a221c6b1066c
151963be4cb0e65
hexc015d5b2c928

211200012110120 has 128 divisors (see below), whose sum is σ = 536291711568000. Its totient is φ = 74149541114880.

The previous prime is 211200012110063. The next prime is 211200012110161. The reversal of 211200012110120 is 21011210002112.

It is a junction number, because it is equal to n+sod(n) for n = 211200012110095 and 211200012110104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467466491 + ... + 467918069.

It is an arithmetic number, because the mean of its divisors is an integer number (4189778996625).

Almost surely, 2211200012110120 is an apocalyptic number.

211200012110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200012110120 is an abundant number, since it is smaller than the sum of its proper divisors (325091699457880).

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

211200012110120 is a wasteful number, since it uses less digits than its factorization.

211200012110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488283 (or 488279 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211200012110120 its reverse (21011210002112), we get a palindrome (232211222112232).

The spelling of 211200012110120 in words is "two hundred eleven trillion, two hundred billion, twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 36653 73306 146612 183265 293224 366530 403183 451579 733060 806366 903158 1062937 1466120 1612732 1806316 2015915 2125874 2257895 3225464 3612632 4031830 4251748 4515790 4967369 5314685 8063660 8503496 9031580 9934738 10629370 11692307 13095791 16127320 18063160 19869476 21258740 23384614 24836845 26191582 39738952 42517480 46769228 49673690 52383164 58461535 65478955 93538456 99347380 104766328 116923070 130957910 144053701 198694760 233846140 261915820 288107402 467692280 523831640 576214804 720268505 1152429608 1440537010 2881074020 5762148040 16551725087 33103450174 66206900348 82758625435 132413800696 165517250870 182068975957 331034501740 364137951914 480000027523 662069003480 728275903828 910344879785 960000055046 1456551807656 1820689759570 1920000110092 2400000137615 3641379519140 3840000220184 4800000275230 5280000302753 7282759038280 9600000550460 10560000605506 19200001100920 21120001211012 26400001513765 42240002422024 52800003027530 105600006055060 211200012110120