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12211010212300 = 22525315122966629
BaseRepresentation
bin1011000110110001100011…
…1011010001000111001100
31121020100202022000112011121
42301230120323101013030
53100031122103243200
641545354411130324
72400134134144564
oct261543073210714
947210668015147
1012211010212300
113988729a19509
1214526aa7439a4
136a7654aa0783
1430303206bda4
15162982c9ee1a
hexb1b18ed11cc

12211010212300 has 144 divisors (see below), whose sum is σ = 27295731086400. Its totient is φ = 4739649408000.

The previous prime is 12211010212259. The next prime is 12211010212309. The reversal of 12211010212300 is 321201011221.

It is not an unprimeable number, because it can be changed into a prime (12211010212309) 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, 183235386 + ... + 183302014.

It is an arithmetic number, because the mean of its divisors is an integer number (189553688100).

Almost surely, 212211010212300 is an apocalyptic number.

12211010212300 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 12211010212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13647865543200).

12211010212300 is an abundant number, since it is smaller than the sum of its proper divisors (15084720874100).

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

12211010212300 is a wasteful number, since it uses less digits than its factorization.

12211010212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67076 (or 67069 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12211010212300 its reverse (321201011221), we get a palindrome (12532211223521).

The spelling of 12211010212300 in words is "twelve trillion, two hundred eleven billion, ten million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 151 212 229 265 302 458 530 604 755 916 1060 1145 1325 1510 2290 2650 3020 3775 4580 5300 5725 7550 8003 11450 12137 15100 16006 22900 24274 32012 34579 40015 48548 60685 66629 69158 80030 121370 133258 138316 160060 172895 200075 242740 266516 303425 333145 345790 400150 606850 666290 691580 800300 864475 1213700 1332580 1665725 1728950 1832687 3331450 3457900 3531337 3665374 6662900 7062674 7330748 9163435 10060979 14125348 15258041 17656685 18326870 20121958 30516082 35313370 36653740 40243916 45817175 50304895 61032164 70626740 76290205 88283425 91634350 100609790 152580410 176566850 183268700 201219580 251524475 305160820 353133700 381451025 503048950 533231887 762902050 808676173 1006097900 1066463774 1525804100 1617352346 2132927548 2303964191 2666159435 3234704692 4043380865 4607928382 5332318870 8086761730 9215856764 10664637740 11519820955 13330797175 16173523460 20216904325 23039641910 26661594350 40433808650 46079283820 53323188700 57599104775 80867617300 115198209550 122110102123 230396419100 244220204246 488440408492 610550510615 1221101021230 2442202042460 3052752553075 6105505106150 12211010212300