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20121001200 = 2432525589167
BaseRepresentation
bin10010101111010011…
…100001110011110000
31220221021012202200200
4102233103201303300
5312201434014300
613124330515200
71311421455036
oct225723416360
956837182620
1020121001200
118595865013
123a96595b00
131b88792491
14d8c3c2556
157cb6bd200
hex4af4e1cf0

20121001200 has 90 divisors (see below), whose sum is σ = 69825475824. Its totient is φ = 5365599360.

The previous prime is 20121001189. The next prime is 20121001231. The reversal of 20121001200 is 210012102.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2790984 + ... + 2798183.

Almost surely, 220121001200 is an apocalyptic number.

20121001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121001200 is an abundant number, since it is smaller than the sum of its proper divisors (49704474624).

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

20121001200 is a wasteful number, since it uses less digits than its factorization.

20121001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5589191 (or 5589177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20121001200 its reverse (210012102), we get a palindrome (20331013302).

The spelling of 20121001200 in words is "twenty billion, one hundred twenty-one million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 5589167 11178334 16767501 22356668 27945835 33535002 44713336 50302503 55891670 67070004 83837505 89426672 100605006 111783340 134140008 139729175 167675010 201210012 223566680 251512515 268280016 279458350 335350020 402420024 419187525 447133360 503025030 558916700 670700040 804840048 838375050 1006050060 1117833400 1257562575 1341400080 1676750100 2012100120 2235666800 2515125150 3353500200 4024200240 5030250300 6707000400 10060500600 20121001200