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122100212200120 = 23571139642926039
BaseRepresentation
bin11011110000110010101011…
…110001100111001010111000
3121000022122222201120002222221
4123300302223301213022320
5112000442213310400440
61111404021345053424
734501310040300040
oct3360625361471270
9530278881502887
10122100212200120
11359a54557061a0
121183ba0a027274
135319001439b7b
142221978c1a720
15e1b1902d6d4a
hex6f0cabc672b8

122100212200120 has 64 divisors (see below), whose sum is σ = 342514880985600. Its totient is φ = 38057208996480.

The previous prime is 122100212200063. The next prime is 122100212200139. The reversal of 122100212200120 is 21002212001221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122100212200094 and 122100212200103.

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, 19821459940 + ... + 19821466099.

It is an arithmetic number, because the mean of its divisors is an integer number (5351795015400).

Almost surely, 2122100212200120 is an apocalyptic number.

122100212200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100212200120 is an abundant number, since it is smaller than the sum of its proper divisors (220414668785480).

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

122100212200120 is a wasteful number, since it uses less digits than its factorization.

122100212200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39642926068 (or 39642926064 counting only the distinct ones).

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

Adding to 122100212200120 its reverse (21002212001221), we get a palindrome (143102424201341).

The spelling of 122100212200120 in words is "one hundred twenty-two trillion, one hundred billion, two hundred twelve million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 39642926039 79285852078 158571704156 198214630195 277500482273 317143408312 396429260390 436072186429 555000964546 792858520780 872144372858 1110001929092 1387502411365 1585717041560 1744288745716 2180360932145 2220003858184 2775004822730 3052505305003 3488577491432 4360721864290 5550009645460 6105010610006 8721443728580 11100019290920 12210021220012 15262526525015 17442887457160 24420042440024 30525053050030 61050106100060 122100212200120