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211221200210120 = 235371221111687579
BaseRepresentation
bin110000000001101011000100…
…100110111000100011001000
31000200212112211121111200101122
4300001223010212320203020
5210141122004223210440
62025121402501134412
762330141150334002
oct6001530446704310
91020775747450348
10211221200210120
1161335453aa2071
121b8341006ba408
1390b20c5c45a19
143a23236b09372
151964534eb67b5
hexc01ac49b88c8

211221200210120 has 64 divisors (see below), whose sum is σ = 488132246203200. Its totient is φ = 82198268570880.

The previous prime is 211221200210107. The next prime is 211221200210147. The reversal of 211221200210120 is 21012002122112.

It is a super-2 number, since 2×2112212002101202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12228491 + ... + 23916069.

It is an arithmetic number, because the mean of its divisors is an integer number (7627066346925).

Almost surely, 2211221200210120 is an apocalyptic number.

211221200210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221200210120 is an abundant number, since it is smaller than the sum of its proper divisors (276911045993080).

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

211221200210120 is a wasteful number, since it uses less digits than its factorization.

211221200210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11699838 (or 11699834 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211221200210120 its reverse (21012002122112), we get a palindrome (232233202332232).

The spelling of 211221200210120 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 12211 24422 48844 61055 97688 122110 244220 451807 488440 903614 1807228 2259035 3614456 4518070 9036140 11687579 18072280 23375158 46750316 58437895 93500632 116875790 233751580 432440423 467503160 864880846 1729761692 2162202115 3459523384 4324404230 8648808460 17297616920 142717027169 285434054338 570868108676 713585135845 1141736217352 1427170271690 2854340543380 5280530005253 5708681086760 10561060010506 21122120021012 26402650026265 42244240042024 52805300052530 105610600105060 211221200210120