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121231201200 = 24352101026001
BaseRepresentation
bin111000011100111110…
…0010101001110110000
3102120220210220010000220
41300321330111032300
53441240141414300
6131405353213040
711521136131164
oct1607174251660
9376823803026
10121231201200
114746094187a
121b5b4101180
13b5802b44a5
145c20a78ca4
153248105da0
hex1c39f153b0

121231201200 has 60 divisors (see below), whose sum is σ = 388343951688. Its totient is φ = 32328320000.

The previous prime is 121231201183. The next prime is 121231201207. The reversal of 121231201200 is 2102132121.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121231201200.

It is not an unprimeable number, because it can be changed into a prime (121231201207) 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, 50511801 + ... + 50514200.

Almost surely, 2121231201200 is an apocalyptic number.

121231201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121231201200 is an abundant number, since it is smaller than the sum of its proper divisors (267112750488).

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

121231201200 is a wasteful number, since it uses less digits than its factorization.

121231201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101026022 (or 101026011 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121231201200 its reverse (2102132121), we get a palindrome (123333333321).

The spelling of 121231201200 in words is "one hundred twenty-one billion, two hundred thirty-one million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 101026001 202052002 303078003 404104004 505130005 606156006 808208008 1010260010 1212312012 1515390015 1616416016 2020520020 2424624024 2525650025 3030780030 4041040040 4849248048 5051300050 6061560060 7576950075 8082080080 10102600100 12123120120 15153900150 20205200200 24246240240 30307800300 40410400400 60615600600 121231201200