Search a number
-
+
12212001202100 = 22527731249191339
BaseRepresentation
bin1011000110110101001111…
…1111100101111110110100
31121020110022100202000121112
42301231103333211332310
53100040134301431400
641550041011334152
72400200526340640
oct261552377457664
947213270660545
1012212001202100
113989098348847
1214529265b1358
136a77821a477b
143030c7911c20
151629deca1835
hexb1b53fe5fb4

12212001202100 has 144 divisors (see below), whose sum is σ = 30725377200000. Its totient is φ = 4126288158720.

The previous prime is 12212001202099. The next prime is 12212001202109. The reversal of 12212001202100 is 120210021221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212001202109) 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, 63728231 + ... + 63919569.

It is an arithmetic number, because the mean of its divisors is an integer number (213370675000).

Almost surely, 212212001202100 is an apocalyptic number.

12212001202100 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 12212001202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15362688600000).

12212001202100 is an abundant number, since it is smaller than the sum of its proper divisors (18513375997900).

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

12212001202100 is a wasteful number, since it uses less digits than its factorization.

12212001202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192682 (or 192675 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12212001202100 its reverse (120210021221), we get a palindrome (12332211223321).

The spelling of 12212001202100 in words is "twelve trillion, two hundred twelve billion, one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 175 292 350 365 511 700 730 1022 1249 1460 1825 2044 2498 2555 3650 4996 5110 6245 7300 8743 10220 12490 12775 17486 24980 25550 31225 34972 43715 51100 62450 87430 91177 124900 174860 182354 191339 218575 364708 382678 437150 455885 638239 765356 874300 911770 956695 1276478 1339373 1823540 1913390 2279425 2552956 2678746 3191195 3826780 4558850 4783475 5357492 6382390 6696865 9117700 9566950 12764780 13393730 13967747 15955975 19133900 26787460 27935494 31911950 33484325 55870988 63823900 66968650 69838735 97774229 133937300 139677470 195548458 238982411 279354940 349193675 391096916 477964822 488871145 698387350 955929644 977742290 1194912055 1396774700 1672876877 1955484580 2389824110 2444355725 3345753754 4779648220 4888711450 5974560275 6691507508 8364384385 9777422900 11949120550 16728768770 17445716003 23898241100 33457537540 34891432006 41821921925 69782864012 83643843850 87228580015 122120012021 167287687700 174457160030 244240024042 348914320060 436142900075 488480048084 610600060105 872285800150 1221200120210 1744571600300 2442400240420 3053000300525 6106000601050 12212001202100