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212211121023120 = 2435991892243193
BaseRepresentation
bin110000010000000101000000…
…011111000110100010010000
31000211101011222220011100121110
4300100011000133012202100
5210303331333440214440
62031200235415453320
762461514256402132
oct6020050037064220
91024334886140543
10212211121023120
116168725a53764a
121b973b2b087240
139154565cb9a8b
143a59104699052
15198017192c080
hexc101407c6890

212211121023120 has 80 divisors (see below), whose sum is σ = 658518304845312. Its totient is φ = 56532528645120.

The previous prime is 212211121023089. The next prime is 212211121023133. The reversal of 212211121023120 is 21320121112212.

It is a tau number, because it is divible by the number of its divisors (80).

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, 445883757 + ... + 446359436.

Almost surely, 2212211121023120 is an apocalyptic number.

212211121023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211121023120 is an abundant number, since it is smaller than the sum of its proper divisors (446307183822192).

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

212211121023120 is a wasteful number, since it uses less digits than its factorization.

212211121023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892244200 (or 892244194 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 212211121023120 its reverse (21320121112212), we get a palindrome (233531242135332).

The spelling of 212211121023120 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred twenty-one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 991 1982 2973 3964 4955 5946 7928 9910 11892 14865 15856 19820 23784 29730 39640 47568 59460 79280 118920 237840 892243193 1784486386 2676729579 3568972772 4461215965 5353459158 7137945544 8922431930 10706918316 13383647895 14275891088 17844863860 21413836632 26767295790 35689727720 42827673264 53534591580 71379455440 107069183160 214138366320 884213004263 1768426008526 2652639012789 3536852017052 4421065021315 5305278025578 7073704034104 8842130042630 10610556051156 13263195063945 14147408068208 17684260085260 21221112102312 26526390127890 35368520170520 42442224204624 53052780255780 70737040341040 106105560511560 212211121023120