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20121202012000 = 255324043209221
BaseRepresentation
bin1001001001100110101010…
…00110010010111101100000
32122020120100011102122122011
410210303111012102331200
510114131210203341000
6110443315205522304
74144465100102305
oct444632506227540
978216304378564
1020121202012000
116458398a82601
12230b759a13394
13b2c5625182bb
144d7c2b0990ac
1524d5ea6232ba
hex124cd5192f60

20121202012000 has 96 divisors (see below), whose sum is σ = 49440085871904. Its totient is φ = 8048107584000.

The previous prime is 20121202011991. The next prime is 20121202012019. The reversal of 20121202012000 is 21020212102.

It is a happy number.

20121202012000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96067390 + ... + 96276610.

It is an arithmetic number, because the mean of its divisors is an integer number (515000894499).

Almost surely, 220121202012000 is an apocalyptic number.

20121202012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121202012000 is an abundant number, since it is smaller than the sum of its proper divisors (29318883859904).

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

20121202012000 is a wasteful number, since it uses less digits than its factorization.

20121202012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233289 (or 233271 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20121202012000 its reverse (21020212102), we get a palindrome (20142222224102).

The spelling of 20121202012000 in words is "twenty trillion, one hundred twenty-one billion, two hundred two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 24043 48086 96172 120215 192344 209221 240430 384688 418442 480860 601075 769376 836884 961720 1046105 1202150 1673768 1923440 2092210 2404300 3005375 3347536 3846880 4184420 4808600 5230525 6010750 6695072 8368840 9617200 10461050 12021500 16737680 19234400 20922100 24043000 26152625 33475360 41844200 48086000 52305250 83688400 96172000 104610500 167376800 209221000 418442000 836884000 5030300503 10060601006 20121202012 25151502515 40242404024 50303005030 80484808048 100606010060 125757512575 160969616096 201212020120 251515025150 402424040240 503030050300 628787562875 804848080480 1006060100600 1257575125750 2012120201200 2515150251500 4024240402400 5030300503000 10060601006000 20121202012000