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12210000121200 = 2435271453571443
BaseRepresentation
bin1011000110101101110010…
…1110000100110101110000
31121020021010220100120200010
42301223130232010311300
53100022040012334300
641545110245254520
72400100120414560
oct261533456046560
947207126316603
1012210000121200
113988260833082
121452468404440
136a752373c42b
14302d77c54da0
15162924278a50
hexb1adcb84d70

12210000121200 has 120 divisors (see below), whose sum is σ = 44700229045888. Its totient is φ = 2790857168640.

The previous prime is 12210000121169. The next prime is 12210000121211. The reversal of 12210000121200 is 212100001221.

12210000121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent 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, 726777322 + ... + 726794121.

Almost surely, 212210000121200 is an apocalyptic number.

12210000121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210000121200 is an abundant number, since it is smaller than the sum of its proper divisors (32490228924688).

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

12210000121200 is a wasteful number, since it uses less digits than its factorization.

12210000121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453571471 (or 1453571460 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12210000121200 its reverse (212100001221), we get a palindrome (12422100122421).

The spelling of 12210000121200 in words is "twelve trillion, two hundred ten billion, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 1453571443 2907142886 4360714329 5814285772 7267857215 8721428658 10175000101 11628571544 14535714430 17442857316 20350000202 21803571645 23257143088 29071428860 30525000303 34885714632 36339286075 40700000404 43607143290 50875000505 58142857720 61050000606 69771429264 72678572150 81400000808 87214286580 101750001010 109017858225 116285715440 122100001212 145357144300 152625001515 162800001616 174428573160 203500002020 218035716450 244200002424 254375002525 290714288600 305250003030 348857146320 407000004040 436071432900 488400004848 508750005050 581428577200 610500006060 763125007575 814000008080 872142865800 1017500010100 1221000012120 1526250015150 1744285731600 2035000020200 2442000024240 3052500030300 4070000040400 6105000060600 12210000121200