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212221121300 = 225219295372671
BaseRepresentation
bin1100010110100101011…
…1010101001100010100
3202021210001110222020122
43011221113111030110
511434112101340200
6241254255051112
721222015524156
oct3055127251424
9667701428218
10212221121300
1182003321551
1235168510a98
13170212248b6
14a3b321cad6
1557c1322385
hex31695d5314

212221121300 has 144 divisors (see below), whose sum is σ = 510942297600. Its totient is φ = 76181414400.

The previous prime is 212221121293. The next prime is 212221121311. The reversal of 212221121300 is 3121122212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2883965 + ... + 2956635.

It is an arithmetic number, because the mean of its divisors is an integer number (3548210400).

Almost surely, 2212221121300 is an apocalyptic number.

212221121300 is a gapful number since it is divisible by the number (20) 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 212221121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255471148800).

212221121300 is an abundant number, since it is smaller than the sum of its proper divisors (298721176300).

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

212221121300 is a wasteful number, since it uses less digits than its factorization.

212221121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72786 (or 72779 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 212221121300 its reverse (3121122212), we get a palindrome (215342243512).

The spelling of 212221121300 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 53 58 76 95 100 106 116 145 190 212 265 290 380 475 530 551 580 725 950 1007 1060 1102 1325 1450 1537 1900 2014 2204 2650 2755 2900 3074 4028 5035 5300 5510 6148 7685 10070 11020 13775 15370 20140 25175 27550 29203 30740 38425 50350 55100 58406 72671 76850 100700 116812 145342 146015 153700 290684 292030 363355 584060 726710 730075 1380749 1453420 1460150 1816775 2107459 2761498 2920300 3633550 3851563 4214918 5522996 6903745 7267100 7703126 8429836 10537295 13807490 15406252 19257815 21074590 27614980 34518725 38515630 40041721 42149180 52686475 69037450 73179697 77031260 80083442 96289075 105372950 111695327 138074900 146359394 160166884 192578150 200208605 210745900 223390654 292718788 365898485 385156300 400417210 446781308 558476635 731796970 800834420 1001043025 1116953270 1463593940 1829492425 2002086050 2122211213 2233906540 2792383175 3658984850 4004172100 4244422426 5584766350 7317969700 8488844852 10611056065 11169532700 21222112130 42444224260 53055280325 106110560650 212221121300