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212012012100120 = 23353163803893257
BaseRepresentation
bin110000001101001011100100…
…101010110101101000011000
31000210200011001122121001221220
4300031023210222311220120
5210242101100044200440
62030524550200332040
762441235205441221
oct6015134452655030
91023604048531856
10212012012100120
116160a875763821
121b941421a74020
13913b85448b9cb
143a4d616a90248
151979dbb8208d0
hexc0d2e4ab5a18

212012012100120 has 128 divisors (see below), whose sum is σ = 656564353136640. Its totient is φ = 54711858539520.

The previous prime is 212012012100113. The next prime is 212012012100139. The reversal of 212012012100120 is 21001210210212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212012012100120.

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, 236900532 + ... + 237793788.

It is an arithmetic number, because the mean of its divisors is an integer number (5129409008880).

Almost surely, 2212012012100120 is an apocalyptic number.

212012012100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012012100120 is an abundant number, since it is smaller than the sum of its proper divisors (444552341036520).

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

212012012100120 is a wasteful number, since it uses less digits than its factorization.

212012012100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957105 (or 957101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212012012100120 its reverse (21001210210212), we get a palindrome (233013222310332).

The spelling of 212012012100120 in words is "two hundred twelve trillion, twelve billion, twelve million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 63803 127606 191409 255212 319015 382818 510424 638030 765636 893257 957045 1276060 1531272 1786514 1914090 1977893 2552120 2679771 3573028 3828180 3955786 4466285 5359542 5933679 7146056 7656360 7911572 8932570 9889465 10719084 11867358 13398855 15823144 17865140 19778930 21438168 23734716 26797710 27690967 29668395 35730280 39557860 47469432 53595420 55381934 59336790 79115720 83072901 107190840 110763868 118673580 138454835 166145802 221527736 237347160 276909670 332291604 415364505 553819340 664583208 830729010 1107638680 1661458020 3322916040 56992476371 113984952742 170977429113 227969905484 284962381855 341954858226 455939810968 569924763710 683909716452 854887145565 1139849527420 1367819432904 1709774291130 1766766767501 2279699054840 3419548582260 3533533535002 5300300302503 6839097164520 7067067070004 8833833837505 10600600605006 14134134140008 17667667675010 21201201210012 26501501512515 35335335350020 42402402420024 53003003025030 70670670700040 106006006050060 212012012100120