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121133121300 = 22335271631889
BaseRepresentation
bin111000011010000011…
…0001011111100010100
3102120122222100010201000
41300310012023330110
53441040034340200
6131351531103300
711515535354022
oct1606406137424
9376588303630
10121133121300
1147410541a04
121b5872a1b30
13b565b93949
145c11a27712
15323e6d0300
hex1c3418bf14

121133121300 has 144 divisors (see below), whose sum is σ = 394905974400. Its totient is φ = 31847155200.

The previous prime is 121133121289. The next prime is 121133121301. The reversal of 121133121300 is 3121331121.

121133121300 is a `hidden beast` number, since 1 + 2 + 11 + 331 + 21 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121133121301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124245 + ... + 507644.

It is an arithmetic number, because the mean of its divisors is an integer number (2742402600).

Almost surely, 2121133121300 is an apocalyptic number.

121133121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121133121300 is an abundant number, since it is smaller than the sum of its proper divisors (273772853100).

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

121133121300 is a wasteful number, since it uses less digits than its factorization.

121133121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631983 (or 631970 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121133121300 its reverse (3121331121), we get a palindrome (124254452421).

The spelling of 121133121300 in words is "one hundred twenty-one billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 71 75 90 100 108 135 142 150 180 213 225 270 284 300 355 426 450 540 639 675 710 852 900 1065 1278 1350 1420 1775 1917 2130 2556 2700 3195 3550 3834 4260 5325 6390 7100 7668 9585 10650 12780 15975 19170 21300 31950 38340 47925 63900 95850 191700 631889 1263778 1895667 2527556 3159445 3791334 5687001 6318890 7582668 9478335 11374002 12637780 15797225 17061003 18956670 22748004 28435005 31594450 34122006 37913340 44864119 47391675 56870010 63188900 68244012 85305015 89728238 94783350 113740020 134592357 142175025 170610030 179456476 189566700 224320595 269184714 284350050 341220060 403777071 426525075 448641190 538369428 568700100 672961785 807554142 853050150 897282380 1121602975 1211331213 1345923570 1615108284 1706100300 2018885355 2243205950 2422662426 2691847140 3364808925 4037770710 4486411900 4845324852 6056656065 6729617850 8075541420 10094426775 12113312130 13459235700 20188853550 24226624260 30283280325 40377707100 60566560650 121133121300