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212012210122000 = 2453616047287383
BaseRepresentation
bin110000001101001011110000…
…011110001110110100010000
31000210200011120110012121220121
4300031023300132032310100
5210242102001242401000
62030525021552520024
762441243131546411
oct6015136036166420
91023604513177817
10212012210122000
116160a967515572
121b941478250014
13913b886502812
143a4d6350b9808
151979dcddd8b1a
hexc0d2f078ed10

212012210122000 has 160 divisors (see below), whose sum is σ = 521137529063424. Its totient is φ = 83400555456000.

The previous prime is 212012210121973. The next prime is 212012210122043. The reversal of 212012210122000 is 221012210212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 737590309 + ... + 737877691.

Almost surely, 2212012210122000 is an apocalyptic number.

212012210122000 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 212012210122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260568764531712).

212012210122000 is an abundant number, since it is smaller than the sum of its proper divisors (309125318941424).

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

212012210122000 is a wasteful number, since it uses less digits than its factorization.

212012210122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293514 (or 293498 counting only the distinct ones).

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

Adding to 212012210122000 its reverse (221012210212), we get a palindrome (212233222332212).

The spelling of 212012210122000 in words is "two hundred twelve trillion, twelve billion, two hundred ten million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 2000 2440 3050 4880 6047 6100 7625 12094 12200 15250 24188 24400 30235 30500 48376 60470 61000 96752 120940 122000 151175 241880 287383 302350 368867 483760 574766 604700 737734 755875 1149532 1209400 1436915 1475468 1511750 1844335 2299064 2418800 2873830 2950936 3023500 3688670 4598128 5747660 5901872 6047000 7184575 7377340 9221675 11495320 12094000 14369150 14754680 17530363 18443350 22990640 28738300 29509360 35060726 35922875 36886700 46108375 57476600 70121452 71845750 73773400 87651815 92216750 114953200 140242904 143691500 147546800 175303630 184433500 280485808 287383000 350607260 368867000 438259075 574766000 701214520 737734000 876518150 1402429040 1737805001 1753036300 2191295375 3475610002 3506072600 4382590750 6951220004 7012145200 8689025005 8765181500 13902440008 17378050010 17530363000 27804880016 34756100020 35060726000 43445125025 69512200040 86890250050 106006105061 139024400080 173780500100 212012210122 217225625125 347561000200 424024420244 434451250250 530030525305 695122000400 848048840488 868902500500 1060061050610 1696097680976 1737805001000 2120122101220 2650152626525 3475610002000 4240244202440 5300305253050 8480488404880 10600610506100 13250763132625 21201221012200 26501526265250 42402442024400 53003052530500 106006105061000 212012210122000