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12022101121200 = 2435210018417601
BaseRepresentation
bin1010111011110001110100…
…0100010001100010110000
31120120022010220020101110220
42232330131010101202300
53033432230341334300
641322513233453040
72350365605313132
oct256743504214260
946508126211426
1012022101121200
1139155a9738325
121421b69411180
136928aa4887b1
142d7c30d63052
1515cac8375da0
hexaef1d1118b0

12022101121200 has 60 divisors (see below), whose sum is σ = 38510797262088. Its totient is φ = 3205893632000.

The previous prime is 12022101121139. The next prime is 12022101121211. The reversal of 12022101121200 is 212110122021.

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 12022101121200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5009207601 + ... + 5009210000.

Almost surely, 212022101121200 is an apocalyptic number.

12022101121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022101121200 is an abundant number, since it is smaller than the sum of its proper divisors (26488696140888).

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

12022101121200 is a wasteful number, since it uses less digits than its factorization.

12022101121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10018417622 (or 10018417611 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12022101121200 its reverse (212110122021), we get a palindrome (12234211243221).

The spelling of 12022101121200 in words is "twelve trillion, twenty-two billion, one hundred one million, one hundred twenty-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 10018417601 20036835202 30055252803 40073670404 50092088005 60110505606 80147340808 100184176010 120221011212 150276264015 160294681616 200368352020 240442022424 250460440025 300552528030 400736704040 480884044848 500920880050 601105056060 751381320075 801473408080 1001841760100 1202210112120 1502762640150 2003683520200 2404420224240 3005525280300 4007367040400 6011050560600 12022101121200