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212011202020120 = 23541239826965413
BaseRepresentation
bin110000001101001010110100…
…011000101000001100011000
31000210200001222012021202002221
4300031022310120220030120
5210242042420204120440
62030524333541433424
762441206141043026
oct6015126430501430
91023601865252087
10212011202020120
116160a49a468718
121b94123670b874
13913b7556b9a29
143a4d57b25d716
151979d70656d4a
hexc0d2b4628318

212011202020120 has 128 divisors (see below), whose sum is σ = 490771413216000. Its totient is φ = 82378679685120.

The previous prime is 212011202020091. The next prime is 212011202020153. The reversal of 212011202020120 is 21020202110212.

It is a happy number.

It is a super-2 number, since 2×2120112020201202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212011202020094 and 212011202020103.

It is a congruent number.

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, 3241084534 + ... + 3241149946.

It is an arithmetic number, because the mean of its divisors is an integer number (3834151665750).

Almost surely, 2212011202020120 is an apocalyptic number.

212011202020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011202020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245385706608000).

212011202020120 is an abundant number, since it is smaller than the sum of its proper divisors (278760211195880).

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

212011202020120 is a wasteful number, since it uses less digits than its factorization.

212011202020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73973 (or 73969 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212011202020120 its reverse (21020202110212), we get a palindrome (233031404130332).

The spelling of 212011202020120 in words is "two hundred twelve trillion, eleven billion, two hundred two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 239 328 410 478 820 956 1195 1640 1912 2390 4780 8269 9560 9799 16538 19598 33076 39196 41345 48995 65413 66152 78392 82690 97990 130826 165380 195980 261652 327065 330760 339029 391960 523304 654130 678058 1308260 1356116 1695145 1976291 2616520 2681933 2712232 3390290 3952582 5363866 6780580 7905164 9881455 10727732 13409665 13561160 15633707 15810328 19762910 21455464 26819330 31267414 39525820 53638660 62534828 78168535 79051640 81027931 107277320 125069656 156337070 162055862 312674140 324111724 405139655 540900097 625348280 640981987 648223448 810279310 1081800194 1281963974 1620558620 2163600388 2563927948 2704500485 3204909935 3241117240 4327200776 5127855896 5409000970 6409819870 10818001940 12819639740 21636003880 22176903977 25639279480 44353807954 88707615908 110884519885 129275123183 177415231816 221769039770 258550246366 443538079540 517100492732 646375615915 887076159080 1034200985464 1292751231830 2585502463660 5171004927320 5300280050503 10600560101006 21201120202012 26501400252515 42402240404024 53002800505030 106005601010060 212011202020120