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202222121112120 = 233537174126160553
BaseRepresentation
bin101101111110101110000001…
…101100011101001000111000
3222112000020122022112112002210
4231332232001230131020320
5203001201401001041440
61554031320540455120
760411031451161044
oct5576560154351070
9875006568475083
10202222121112120
1159485a134a227a
121a82000324a4a0
1388ab605aba575
1437d1862461024
15185a3dc594a80
hexb7eb81b1d238

202222121112120 has 128 divisors (see below), whose sum is σ = 623420651730240. Its totient is φ = 52438303272960.

The previous prime is 202222121112119. The next prime is 202222121112191. The reversal of 202222121112120 is 21211121222202.

It is a super-2 number, since 2×2022221211121202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5350237 + ... + 20810316.

Almost surely, 2202222121112120 is an apocalyptic number.

202222121112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202222121112120 is an abundant number, since it is smaller than the sum of its proper divisors (421198530618120).

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

202222121112120 is a wasteful number, since it uses less digits than its factorization.

202222121112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26162345 (or 26162341 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 202222121112120 its reverse (21211121222202), we get a palindrome (223433242334322).

The spelling of 202222121112120 in words is "two hundred two trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 1741 2220 3482 4440 5223 6964 8705 10446 13928 17410 20892 26115 34820 41784 52230 64417 69640 104460 128834 193251 208920 257668 322085 386502 515336 644170 773004 966255 1288340 1546008 1932510 2576680 3865020 7730040 26160553 52321106 78481659 104642212 130802765 156963318 209284424 261605530 313926636 392408295 523211060 627853272 784816590 967940461 1046422120 1569633180 1935880922 2903821383 3139266360 3871761844 4839702305 5807642766 7743523688 9679404610 11615285532 14519106915 19358809220 23230571064 29038213830 38717618440 45545522773 58076427660 91091045546 116152855320 136636568319 182182091092 227727613865 273273136638 364364182184 455455227730 546546273276 683182841595 910910455460 1093092546552 1366365683190 1685184342601 1821820910920 2732731366380 3370368685202 5055553027803 5465462732760 6740737370404 8425921713005 10111106055606 13481474740808 16851843426010 20222212111212 25277765139015 33703686852020 40444424222424 50555530278030 67407373704040 101111060556060 202222121112120