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210120120012120 = 233563611282321467
BaseRepresentation
bin101111110001101001100111…
…000111010000110101011000
31000112222021202102212011120120
4233301221213013100311120
5210020102001210341440
62022515503415153240
762154451311146103
oct5761514707206530
91015867672764516
10210120120012120
1160a50495a2135a
121b69682b075820
13903231c431046
1439c5c21db973a
151945a8e791dd0
hexbf1a671d0d58

210120120012120 has 128 divisors (see below), whose sum is σ = 630537995082240. Its totient is φ = 56016244823040.

The previous prime is 210120120012119. The next prime is 210120120012133. The reversal of 210120120012120 is 21210021021012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210120120012120.

It is a congruent number.

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, 9788041627 + ... + 9788063093.

It is an arithmetic number, because the mean of its divisors is an integer number (4926078086580).

Almost surely, 2210120120012120 is an apocalyptic number.

210120120012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210120120012120 is an abundant number, since it is smaller than the sum of its proper divisors (420417875070120).

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

210120120012120 is a wasteful number, since it uses less digits than its factorization.

210120120012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40665 (or 40661 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210120120012120 its reverse (21210021021012), we get a palindrome (231330141033132).

The spelling of 210120120012120 in words is "two hundred ten trillion, one hundred twenty billion, one hundred twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 6361 12722 12823 19083 21467 25444 25646 31805 38166 38469 42934 50888 51292 63610 64115 64401 76332 76938 85868 95415 102584 107335 127220 128230 128802 152664 153876 171736 190830 192345 214670 254440 256460 257604 307752 322005 381660 384690 429340 512920 515208 644010 763320 769380 858680 1288020 1538760 2576040 81567103 136551587 163134206 244701309 273103174 275271341 326268412 407835515 409654761 489402618 546206348 550542682 652536824 682757935 815671030 819309522 825814023 978805236 1092412696 1101085364 1223506545 1365515870 1376356705 1631342060 1638619044 1651628046 1957610472 2048273805 2202170728 2447013090 2731031740 2752713410 3262684120 3277238088 3303256092 4096547610 4129070115 4894026180 5462063480 5505426820 6606512184 8193095220 8258140230 9788052360 11010853640 16386190440 16516280460 33032560920 1751001000101 3502002000202 5253003000303 7004004000404 8755005000505 10506006000606 14008008000808 17510010001010 21012012001212 26265015001515 35020020002020 42024024002424 52530030003030 70040040004040 105060060006060 210120120012120