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212021111120 = 24571361477439
BaseRepresentation
bin1100010101110101110…
…0010110100101010000
3202021021010010101212012
43011131130112211100
511433204401023440
6241222352122052
721214036465130
oct3053534264520
9667233111765
10212021111120
1181a10431985
1235111536328
1316cbb965a90
14a394836ac0
1557ad9b4e65
hex315d716950

212021111120 has 160 divisors (see below), whose sum is σ = 616653864960. Its totient is φ = 66001029120.

The previous prime is 212021111083. The next prime is 212021111123. The reversal of 212021111120 is 21111120212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212021111095 and 212021111104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021111123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205361 + ... + 682799.

It is an arithmetic number, because the mean of its divisors is an integer number (3854086656).

Almost surely, 2212021111120 is an apocalyptic number.

212021111120 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 212021111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308326932480).

212021111120 is an abundant number, since it is smaller than the sum of its proper divisors (404632753840).

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

212021111120 is a wasteful number, since it uses less digits than its factorization.

212021111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477533 (or 477527 counting only the distinct ones).

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

Adding to 212021111120 its reverse (21111120212), we get a palindrome (233132231332).

The spelling of 212021111120 in words is "two hundred twelve billion, twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 61 65 70 80 91 104 112 122 130 140 182 208 244 260 280 305 364 427 455 488 520 560 610 728 793 854 910 976 1040 1220 1456 1586 1708 1820 2135 2440 3172 3416 3640 3965 4270 4880 5551 6344 6832 7280 7930 8540 11102 12688 15860 17080 22204 27755 31720 34160 44408 55510 63440 88816 111020 222040 444080 477439 954878 1909756 2387195 3342073 3819512 4774390 6206707 6684146 7639024 9548780 12413414 13368292 16710365 19097560 24826828 26736584 29123779 31033535 33420730 38195120 43446949 49653656 53473168 58247558 62067070 66841460 86893898 99307312 116495116 124134140 133682920 145618895 173787796 203866453 217234745 232990232 248268280 267365840 291237790 347575592 378609127 407732906 434469490 465980464 496536560 582475580 695151184 757218254 815465812 868938980 1019332265 1164951160 1514436508 1630931624 1737877960 1893045635 2038664530 2329902320 2650263889 3028873016 3261863248 3475755920 3786091270 4077329060 5300527778 6057746032 7572182540 8154658120 10601055556 13251319445 15144365080 16309316240 21202111112 26502638890 30288730160 42404222224 53005277780 106010555560 212021111120