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212120022101020 = 225111675773544423
BaseRepresentation
bin110000001110110000001010…
…100100010010110000011100
31000211001110212001110121202121
4300032300022210102300130
5210300333301124213040
62031050332021432324
762452110614342065
oct6016601244226034
91024043761417677
10212120022101020
1161651661578080
121b95a34626b6a4
139148aa8603647
143a5494185d56c
15197caddd7dc4a
hexc0ec0a912c1c

212120022101020 has 48 divisors (see below), whose sum is σ = 488857553468928. Its totient is φ = 76672669924160.

The previous prime is 212120022101017. The next prime is 212120022101081. The reversal of 212120022101020 is 20101220021212.

It is a happy number.

It is a super-2 number, since 2×2121200221010202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212120022100985 and 212120022101003.

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, 2886735472 + ... + 2886808951.

It is an arithmetic number, because the mean of its divisors is an integer number (10184532363936).

Almost surely, 2212120022101020 is an apocalyptic number.

212120022101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120022101020 is an abundant number, since it is smaller than the sum of its proper divisors (276737531367908).

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

212120022101020 is a wasteful number, since it uses less digits than its factorization.

212120022101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773544610 (or 5773544608 counting only the distinct ones).

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

Adding to 212120022101020 its reverse (20101220021212), we get a palindrome (232221242122232).

The spelling of 212120022101020 in words is "two hundred twelve trillion, one hundred twenty billion, twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 7348 9185 18370 36740 5773544423 11547088846 23094177692 28867722115 57735444230 63508988653 115470888460 127017977306 254035954612 317544943265 635089886530 964181918641 1270179773060 1928363837282 3856727674564 4820909593205 9641819186410 10606001105051 19283638372820 21212002210102 42424004420204 53030005525255 106060011050510 212120022101020