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12021211121200 = 2452174717202649
BaseRepresentation
bin1010111011101110100000…
…0001001100011000110000
31120120012211212112200222221
42232323220001030120300
53033423420021334300
641322245042010424
72350334550404011
oct256735001143060
946505755480887
1012021211121200
113915192316136
12142195b346a14
13692797c83988
142d7b88a8b008
1515ca7517231a
hexaeee804c630

12021211121200 has 60 divisors (see below), whose sum is σ = 28897493144200. Its totient is φ = 4805731745280.

The previous prime is 12021211121197. The next prime is 12021211121207. The reversal of 12021211121200 is 212111212021.

It is a super-2 number, since 2×120212111212002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12021211121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7902525 + ... + 9300124.

Almost surely, 212021211121200 is an apocalyptic number.

12021211121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021211121200 is an abundant number, since it is smaller than the sum of its proper divisors (16876282023000).

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

12021211121200 is a wasteful number, since it uses less digits than its factorization.

12021211121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17204414 (or 17204403 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12021211121200 its reverse (212111212021), we get a palindrome (12233322333221).

The spelling of 12021211121200 in words is "twelve trillion, twenty-one billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1747 3494 6988 8735 13976 17470 27952 34940 43675 69880 87350 139760 174700 349400 698800 17202649 34405298 68810596 86013245 137621192 172026490 275242384 344052980 430066225 688105960 860132450 1376211920 1720264900 3440529800 6881059600 30053027803 60106055606 120212111212 150265139015 240424222424 300530278030 480848444848 601060556060 751325695075 1202121112120 1502651390150 2404242224240 3005302780300 6010605560600 12021211121200