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201220121001200 = 24527312318204159
BaseRepresentation
bin101101110000001000110101…
…110101010111110011110000
3222101110110022012112221020112
4231300020311311113303300
5202333242301434014300
61551543125241000452
760245450115565610
oct5560106565276360
9871413265487215
10201220121001200
1159129a79564454
121a699983483128
138837c8c339052
14379916a530a40
15183e2e5447e35
hexb70235d57cf0

201220121001200 has 120 divisors (see below), whose sum is σ = 570315314626560. Its totient is φ = 66764279750400.

The previous prime is 201220121001181. The next prime is 201220121001209. The reversal of 201220121001200 is 2100121022102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201220121001209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159015280 + ... + 1159188879.

It is an arithmetic number, because the mean of its divisors is an integer number (4752627621888).

Almost surely, 2201220121001200 is an apocalyptic number.

201220121001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220121001200 is an abundant number, since it is smaller than the sum of its proper divisors (369095193625360).

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

201220121001200 is a wasteful number, since it uses less digits than its factorization.

201220121001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318204215 (or 2318204204 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201220121001200 its reverse (2100121022102), we get a palindrome (203320242023302).

The spelling of 201220121001200 in words is "two hundred one trillion, two hundred twenty billion, one hundred twenty-one million, one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 140 155 175 200 217 248 280 310 350 400 434 496 560 620 700 775 868 1085 1240 1400 1550 1736 2170 2480 2800 3100 3472 4340 5425 6200 8680 10850 12400 17360 21700 43400 86800 2318204159 4636408318 9272816636 11591020795 16227429113 18545633272 23182041590 32454858226 37091266544 46364083180 57955103975 64909716452 71864328929 81137145565 92728166360 115910207950 129819432904 143728657858 162274291130 185456332720 231820415900 259638865808 287457315716 324548582260 359321644645 405685727825 463640831800 503050302503 574914631432 649097164520 718643289290 811371455650 927281663600 1006100605006 1149829262864 1298194329040 1437286578580 1622742911300 1796608223225 2012201210012 2515251512515 2874573157160 3245485822600 3593216446450 4024402420024 5030503025030 5749146314320 6490971645200 7186432892900 8048804840048 10061006050060 12576257562575 14372865785800 20122012100120 25152515125150 28745731571600 40244024200240 50305030250300 100610060500600 201220121001200