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12211213231000 = 235375473189139
BaseRepresentation
bin1011000110110010010100…
…0001101110001110011000
31121020101021110000221110201
42301230211001232032120
53100032031041343000
641545430502351544
72400142150604050
oct261544501561630
947211243027421
1012211213231000
113988823583463
12145274672b5b4
136a7687b73a94
14303050dd8560
15162995a0396a
hexb1b2506e398

12211213231000 has 128 divisors (see below), whose sum is σ = 32715984038400. Its totient is φ = 4179046435200.

The previous prime is 12211213230967. The next prime is 12211213231093. The reversal of 12211213231000 is 13231211221.

It is a super-2 number, since 2×122112132310002 (a number of 27 digits) contains 22 as substring.

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, 2234431 + ... + 5423569.

It is an arithmetic number, because the mean of its divisors is an integer number (255593625300).

Almost surely, 212211213231000 is an apocalyptic number.

12211213231000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211213231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357992019200).

12211213231000 is an abundant number, since it is smaller than the sum of its proper divisors (20504770807400).

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

12211213231000 is a wasteful number, since it uses less digits than its factorization.

12211213231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189714 (or 3189700 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12211213231000 its reverse (13231211221), we get a palindrome (12224444442221).

The spelling of 12211213231000 in words is "twelve trillion, two hundred eleven billion, two hundred thirteen million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 547 700 875 1000 1094 1400 1750 2188 2735 3500 3829 4376 5470 7000 7658 10940 13675 15316 19145 21880 27350 30632 38290 54700 68375 76580 95725 109400 136750 153160 191450 273500 382900 478625 547000 765800 957250 1914500 3189139 3829000 6378278 12756556 15945695 22323973 25513112 31891390 44647946 63782780 79728475 89295892 111619865 127565560 159456950 178591784 223239730 318913900 398642375 446479460 558099325 637827800 797284750 892958920 1116198650 1594569500 1744459033 2232397300 2790496625 3189139000 3488918066 4464794600 5580993250 6977836132 8722295165 11161986500 12211213231 13955672264 17444590330 22323973000 24422426462 34889180660 43611475825 48844852924 61056066155 69778361320 87222951650 97689705848 122112132310 174445903300 218057379125 244224264620 305280330775 348891806600 436114758250 488448529240 610560661550 872229516500 1221121323100 1526401653875 1744459033000 2442242646200 3052803307750 6105606615500 12211213231000