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210120212021120 = 2753147225334819
BaseRepresentation
bin101111110001101001101100…
…100110001111111110000000
31000112222021222211222201012022
4233301221230212033332000
5210020102143234133440
62022515520503221012
762154453506206652
oct5761515446177600
91015867884881168
10210120212021120
1160a50532955055
121b696855a47768
13903233550753b
1439c5c302ca6d2
151945a978b8cb5
hexbf1a6c98ff80

210120212021120 has 128 divisors (see below), whose sum is σ = 529554853785600. Its totient is φ = 79606284503040.

The previous prime is 210120212021099. The next prime is 210120212021131. The reversal of 210120212021120 is 21120212021012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 111734930 + ... + 113599889.

It is an arithmetic number, because the mean of its divisors is an integer number (4137147295200).

Almost surely, 2210120212021120 is an apocalyptic number.

210120212021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210120212021120 is an abundant number, since it is smaller than the sum of its proper divisors (319434641764480).

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

210120212021120 is a wasteful number, since it uses less digits than its factorization.

210120212021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225334916 (or 225334904 counting only the distinct ones).

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

Adding to 210120212021120 its reverse (21120212021012), we get a palindrome (231240424042132).

The spelling of 210120212021120 in words is "two hundred ten trillion, one hundred twenty billion, two hundred twelve million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 47 62 64 80 94 124 128 155 160 188 235 248 310 320 376 470 496 620 640 752 940 992 1240 1457 1504 1880 1984 2480 2914 3008 3760 3968 4960 5828 6016 7285 7520 9920 11656 14570 15040 19840 23312 29140 30080 46624 58280 93248 116560 186496 233120 466240 932480 225334819 450669638 901339276 1126674095 1802678552 2253348190 3605357104 4506696380 6985379389 7210714208 9013392760 10590736493 13970758778 14421428416 18026785520 21181472986 27941517556 28842856832 34926896945 36053571040 42362945972 52953682465 55883035112 69853793890 72107142080 84725891944 105907364930 111766070224 139707587780 144214284160 169451783888 211814729860 223532140448 279415175560 328312831283 338903567776 423629459720 447064280896 558830351120 656625662566 677807135552 847258919440 894128561792 1117660702240 1313251325132 1355614271104 1641564156415 1694517838880 2235321404480 2626502650264 3283128312830 3389035677760 4470642808960 5253005300528 6566256625660 6778071355520 10506010601056 13132513251320 21012021202112 26265026502640 42024042404224 52530053005280 105060106010560 210120212021120