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120002023031220 = 2232511292089899391
BaseRepresentation
bin11011010010010000100101…
…111101001000000110110100
3120201220002012022110200001200
4123102100211331020012310
5111212103120343444340
61103120100205252500
734163600666521311
oct3322204575100664
9521802168420050
10120002023031220
1135266632611540
1211561242864130
1351c61b05a9075
14218c1b3a01d08
15dd17dc067330
hex6d2425f481b4

120002023031220 has 144 divisors (see below), whose sum is σ = 410790624491520. Its totient is φ = 28088247801600.

The previous prime is 120002023031183. The next prime is 120002023031227. The reversal of 120002023031220 is 22130320200021.

120002023031220 is a `hidden beast` number, since 120 + 0 + 0 + 2 + 0 + 230 + 312 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120002023031193 and 120002023031202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120002023031227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044892276 + ... + 1045007115.

It is an arithmetic number, because the mean of its divisors is an integer number (2852712670080).

Almost surely, 2120002023031220 is an apocalyptic number.

120002023031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120002023031220 is an abundant number, since it is smaller than the sum of its proper divisors (290788601460300).

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

120002023031220 is a wasteful number, since it uses less digits than its factorization.

120002023031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089899446 (or 2089899441 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120002023031220 its reverse (22130320200021), we get a palindrome (142132343231241).

The spelling of 120002023031220 in words is "one hundred twenty trillion, two billion, twenty-three million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420 2089899391 4179798782 6269698173 8359597564 10449496955 12539396346 18809094519 20898993910 22988893301 25078792692 31348490865 37618189038 41797987820 45977786602 60607082339 62696981730 68966679903 75236378076 91955573204 94045472595 114944466505 121214164678 125393963460 137933359806 181821247017 188090945190 206900039709 229888933010 242428329356 275866719612 303035411695 344833399515 363642494034 376181890380 413800079418 459777866020 545463741051 606070823390 666677905729 689666799030 727284988068 827600158836 909106235085 1034500198545 1090927482102 1212141646780 1333355811458 1379333598060 1818212470170 2000033717187 2069000397090 2181854964204 2666711622916 2727318705255 3333389528645 3636424940340 4000067434374 4138000794180 5454637410510 6000101151561 6666779057290 8000134868748 10000168585935 10909274821020 12000202303122 13333558114580 20000337171870 24000404606244 30000505757805 40000674343740 60001011515610 120002023031220