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122221211022120 = 23357284293511801
BaseRepresentation
bin11011110010100011010111…
…110111011111001100101000
3121000202020022100012010200210
4123302203113313133030220
5112004433020010201440
61111535352121501120
734513122355305660
oct3362432767371450
9530666270163623
10122221211022120
1135a417a735a041
121185b3583417a0
13532754553b172
142227776a851a0
15e1e3c2cd9a80
hex6f28d7ddf328

122221211022120 has 128 divisors (see below), whose sum is σ = 419046444829440. Its totient is φ = 27936123955200.

The previous prime is 122221211022067. The next prime is 122221211022137. The reversal of 122221211022120 is 21220112122221.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 238550220 + ... + 239062020.

It is an arithmetic number, because the mean of its divisors is an integer number (3273800350230).

Almost surely, 2122221211022120 is an apocalyptic number.

122221211022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221211022120 is an abundant number, since it is smaller than the sum of its proper divisors (296825233807320).

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

122221211022120 is a wasteful number, since it uses less digits than its factorization.

122221211022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796115 (or 796111 counting only the distinct ones).

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

Adding to 122221211022120 its reverse (21220112122221), we get a palindrome (143441323144341).

The spelling of 122221211022120 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred eleven million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 284293 511801 568586 852879 1023602 1137172 1421465 1535403 1705758 1990051 2047204 2274344 2559005 2842930 3070806 3411516 3582607 3980102 4094408 4264395 5118010 5685860 5970153 6141612 6823032 7165214 7677015 7960204 8528790 9950255 10236020 10747821 11371720 11940306 12283224 14330428 15354030 15920408 17057580 17913035 19900510 20472040 21495642 23880612 28660856 29850765 30708060 34115160 35826070 39801020 42991284 47761224 53739105 59701530 61416120 71652140 79602040 85982568 107478210 119403060 143304280 214956420 238806120 429912840 145501441693 291002883386 436504325079 582005766772 727507208465 873008650158 1018510091851 1164011533544 1455014416930 1746017300316 2037020183702 2182521625395 2910028833860 3055530275553 3492034600632 4074040367404 4365043250790 5092550459255 5820057667720 6111060551106 8148080734808 8730086501580 10185100918510 12222121102212 15277651377765 17460173003160 20370201837020 24444242204424 30555302755530 40740403674040 61110605511060 122221211022120