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21022100001200 = 2452892248126267
BaseRepresentation
bin1001100011110100101101…
…10011011001000110110000
32202102200201021221022110202
410301322112303121012300
510223411230100014300
6112413230332214332
74266540143465204
oct461722663310660
982380637838422
1021022100001200
116775471450a31
12243628290a3a8
13b964b604575c
14529691836b04
15266c768d0ad5
hex131e96cd91b0

21022100001200 has 120 divisors (see below), whose sum is σ = 51077290152240. Its totient is φ = 8313672294400.

The previous prime is 21022100001191. The next prime is 21022100001239. The reversal of 21022100001200 is 210000122012.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800310467 + ... + 800336733.

It is an arithmetic number, because the mean of its divisors is an integer number (425644084602).

Almost surely, 221022100001200 is an apocalyptic number.

21022100001200 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 21022100001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25538645076120).

21022100001200 is an abundant number, since it is smaller than the sum of its proper divisors (30055190151040).

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

21022100001200 is a wasteful number, since it uses less digits than its factorization.

21022100001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48855 (or 48844 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21022100001200 its reverse (210000122012), we get a palindrome (21232100123212).

The spelling of 21022100001200 in words is "twenty-one trillion, twenty-two billion, one hundred million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 178 200 356 400 445 712 890 1424 1780 2225 3560 4450 7120 8900 17800 22481 26267 35600 44962 52534 89924 105068 112405 131335 179848 210136 224810 262670 359696 420272 449620 525340 562025 656675 899240 1050680 1124050 1313350 1798480 2000809 2101360 2248100 2337763 2626700 4001618 4496200 4675526 5253400 8003236 8992400 9351052 10004045 10506800 11688815 16006472 18702104 20008090 23377630 32012944 37404208 40016180 46755260 50020225 58444075 80032360 93510520 100040450 116888150 160064720 187021040 200080900 233776300 400161800 467552600 590508427 800323600 935105200 1181016854 2362033708 2952542135 4724067416 5905084270 9448134832 11810168540 14762710675 23620337080 29525421350 47240674160 52555250003 59050842700 105110500006 118101685400 210221000012 236203370800 262776250015 420442000024 525552500030 840884000048 1051105000060 1313881250075 2102210000120 2627762500150 4204420000240 5255525000300 10511050000600 21022100001200