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212012200102120 = 2351117191491783001
BaseRepresentation
bin110000001101001011101111…
…111000000000100011101000
31000210200011112202100120012221
4300031023233320000203220
5210242101441211231440
62030525020554043424
762441242650435055
oct6015135770004350
91023604482316187
10212012200102120
116160a9618a1480
121b941474a19574
13913b884404bb2
143a4d633a2c02c
151979dcd0a9d4a
hexc0d2efe008e8

212012200102120 has 128 divisors (see below), whose sum is σ = 580005231177600. Its totient is φ = 68741360640000.

The previous prime is 212012200102117. The next prime is 212012200102123. The reversal of 212012200102120 is 21201002210212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212012200102117) and next prime (212012200102123).

It is a junction number, because it is equal to n+sod(n) for n = 212012200102094 and 212012200102103.

It is not an unprimeable number, because it can be changed into a prime (212012200102123) 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, 745749381 + ... + 746033620.

It is an arithmetic number, because the mean of its divisors is an integer number (4531290868575).

Almost surely, 2212012200102120 is an apocalyptic number.

212012200102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012200102120 is an abundant number, since it is smaller than the sum of its proper divisors (367993031075480).

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

212012200102120 is a wasteful number, since it uses less digits than its factorization.

212012200102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491783059 (or 1491783055 counting only the distinct ones).

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

Adding to 212012200102120 its reverse (21201002210212), we get a palindrome (233213202312332).

The spelling of 212012200102120 in words is "two hundred twelve trillion, twelve billion, two hundred million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 19 20 22 34 38 40 44 55 68 76 85 88 95 110 136 152 170 187 190 209 220 323 340 374 380 418 440 646 680 748 760 836 935 1045 1292 1496 1615 1672 1870 2090 2584 3230 3553 3740 4180 6460 7106 7480 8360 12920 14212 17765 28424 35530 71060 142120 1491783001 2983566002 5967132004 7458915005 11934264008 14917830010 16409613011 25360311017 28343877019 29835660020 32819226022 50720622034 56687754038 59671320040 65638452044 82048065055 101441244068 113375508076 126801555085 131276904088 141719385095 164096130110 202882488136 226751016152 253603110170 278963421187 283438770190 311782647209 328192260220 481845909323 507206220340 557926842374 566877540380 623565294418 656384520440 963691818646 1014412440680 1115853684748 1133755080760 1247130588836 1394817105935 1558913236045 1927383637292 2231707369496 2409229546615 2494261177672 2789634211870 3117826472090 3854767274584 4818459093230 5300305002553 5579268423740 6235652944180 9636918186460 10600610005106 11158536847480 12471305888360 19273836372920 21201220010212 26501525012765 42402440020424 53003050025530 106006100051060 212012200102120