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212212122012120 = 23358093067771257
BaseRepresentation
bin110000010000000101111100…
…001001100100100111011000
31000211101021120122200212101010
4300100011330021210213120
5210303340411213341440
62031200523014253520
762461551132562326
oct6020057411444730
91024337518625333
10212212122012120
116168772357648a
121b97416a3572a0
1391546954b2169
143a5919b5c2d16
1519801ce756580
hexc1017c2649d8

212212122012120 has 128 divisors (see below), whose sum is σ = 637453032638400. Its totient is φ = 56517313191936.

The previous prime is 212212122012119. The next prime is 212212122012133. The reversal of 212212122012120 is 21210221212212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2978087532 + ... + 2978158788.

Almost surely, 2212212122012120 is an apocalyptic number.

212212122012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212122012120 is an abundant number, since it is smaller than the sum of its proper divisors (425240910626280).

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

212212122012120 is a wasteful number, since it uses less digits than its factorization.

212212122012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102757 (or 102753 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 212212122012120 its reverse (21210221212212), we get a palindrome (233422343224332).

The spelling of 212212122012120 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 809 1618 2427 3236 4045 4854 6472 8090 9708 12135 16180 19416 24270 30677 32360 48540 61354 71257 92031 97080 122708 142514 153385 184062 213771 245416 285028 306770 356285 368124 427542 460155 570056 613540 712570 736248 855084 920310 1068855 1227080 1425140 1710168 1840620 2137710 2850280 3681240 4275420 8550840 24817693 49635386 57646913 74453079 99270772 115293826 124088465 148906158 172940739 198541544 230587652 248176930 288234565 297812316 345881478 372265395 461175304 496353860 576469130 595624632 691762956 744530790 864703695 992707720 1152938260 1383525912 1489061580 1729407390 2185950989 2305876520 2978123160 3458814780 4371901978 6557852967 6917629560 8743803956 10929754945 13115705934 17487607912 21859509890 26231411868 32789264835 43719019780 52462823736 65578529670 87438039560 131157059340 262314118680 1768434350101 3536868700202 5305303050303 7073737400404 8842171750505 10610606100606 14147474800808 17684343501010 21221212201212 26526515251515 35368687002020 42442424402424 53053030503030 70737374004040 106106061006060 212212122012120