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12010031132220 = 22335112021890763
BaseRepresentation
bin1010111011000100110110…
…1000111010111000111100
31120112010222201102102022000
42232301031220322320330
53033233020432212340
641313155424022300
72346460524146652
oct256611550727074
946463881372260
1012010031132220
113910475522a20
12141b75b161990
1369170598a494
142d7407d26dd2
1515c61d8ccd30
hexaec4da3ae3c

12010031132220 has 96 divisors (see below), whose sum is σ = 40761317802240. Its totient is φ = 2911522697280.

The previous prime is 12010031132171. The next prime is 12010031132221. The reversal of 12010031132220 is 2223113001021.

12010031132220 is a `hidden beast` number, since 1 + 2 + 0 + 10 + 0 + 311 + 322 + 20 = 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 = 12010031132193 and 12010031132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010031132221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010939442 + ... + 1010951321.

It is an arithmetic number, because the mean of its divisors is an integer number (424597060440).

Almost surely, 212010031132220 is an apocalyptic number.

12010031132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010031132220 is an abundant number, since it is smaller than the sum of its proper divisors (28751286670020).

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

12010031132220 is a wasteful number, since it uses less digits than its factorization.

12010031132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021890792 (or 2021890784 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12010031132220 its reverse (2223113001021), we get a palindrome (14233144133241).

The spelling of 12010031132220 in words is "twelve trillion, ten billion, thirty-one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 2021890763 4043781526 6065672289 8087563052 10109453815 12131344578 18197016867 20218907630 22240798393 24262689156 30328361445 36394033734 40437815260 44481596786 54591050601 60656722890 66722395179 72788067468 88963193572 90985084335 109182101202 111203991965 121313445780 133444790358 181970168670 200167185537 218364202404 222407983930 266889580716 272955253005 333611975895 363940337340 400334371074 444815967860 545910506010 600501556611 667223951790 800668742148 1000835927685 1091821012020 1201003113222 1334447903580 2001671855370 2402006226444 3002507783055 4003343710740 6005015566110 12010031132220