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212120033023120 = 24517236781330979
BaseRepresentation
bin110000001110110000001011…
…001101111101010010010000
31000211001110212211000112001211
4300032300023031331102100
5210300333311423214440
62031050333051505504
762452111106231665
oct6016601315752220
91024043784015054
10212120033023120
1161651667758002
121b95a349a58294
139148aaa958b21
143a549430a3a6c
15197cadecd9eea
hexc0ec0b37d490

212120033023120 has 80 divisors (see below), whose sum is σ = 544893506904960. Its totient is φ = 76384912136192.

The previous prime is 212120033023079. The next prime is 212120033023141. The reversal of 212120033023120 is 21320330021212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212120033023091 and 212120033023100.

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, 3390634210 + ... + 3390696769.

It is an arithmetic number, because the mean of its divisors is an integer number (6811168836312).

Almost surely, 2212120033023120 is an apocalyptic number.

212120033023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120033023120 is an abundant number, since it is smaller than the sum of its proper divisors (332773473881840).

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

212120033023120 is a wasteful number, since it uses less digits than its factorization.

212120033023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6781331032 (or 6781331026 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 212120033023120 its reverse (21320330021212), we get a palindrome (233440363044332).

The spelling of 212120033023120 in words is "two hundred twelve trillion, one hundred twenty billion, thirty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3910 6256 7820 15640 31280 6781330979 13562661958 27125323916 33906654895 54250647832 67813309790 108501295664 115282626643 135626619580 155970612517 230565253286 271253239160 311941225034 461130506572 542506478320 576413133215 623882450068 779853062585 922261013144 1152826266430 1247764900136 1559706125170 1844522026288 2305652532860 2495529800272 2651500412789 3119412250340 4611305065720 5303000825578 6238824500680 9222610131440 10606001651156 12477649001360 13257502063945 21212003302312 26515004127890 42424006604624 53030008255780 106060016511560 212120033023120