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121220202000 = 24353118117107
BaseRepresentation
bin111000011100101001…
…0010111111000010000
3102120220001012021222010
41300321102113320100
53441224332431000
6131404321342520
711520643500432
oct1607122277020
9376801167863
10121220202000
1147455709a27
121b5b0497a40
13b57ac32ba1
145c1d414652
153247181d50
hex1c39497e10

121220202000 has 160 divisors (see below), whose sum is σ = 391167713664. Its totient is φ = 32296128000.

The previous prime is 121220201981. The next prime is 121220202011. The reversal of 121220202000 is 202022121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7077447 + ... + 7094553.

Almost surely, 2121220202000 is an apocalyptic number.

121220202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195583856832).

121220202000 is an abundant number, since it is smaller than the sum of its proper divisors (269947511664).

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

121220202000 is a wasteful number, since it uses less digits than its factorization.

121220202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18314 (or 18298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 121220202000 its reverse (202022121), we get a palindrome (121422224121).

The spelling of 121220202000 in words is "one hundred twenty-one billion, two hundred twenty million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1181 1200 1500 2000 2362 3000 3543 4724 5905 6000 7086 9448 11810 14172 17107 17715 18896 23620 28344 29525 34214 35430 47240 51321 56688 59050 68428 70860 85535 88575 94480 102642 118100 136856 141720 147625 171070 177150 205284 236200 256605 273712 283440 295250 342140 354300 410568 427675 442875 472400 513210 590500 684280 708600 821136 855350 885750 1026420 1181000 1283025 1368560 1417200 1710700 1771500 2052840 2138375 2362000 2566050 3421400 3543000 4105680 4276750 5132100 6415125 6842800 7086000 8553500 10264200 12830250 17107000 20203367 20528400 25660500 34214000 40406734 51321000 60610101 80813468 101016835 102642000 121220202 161626936 202033670 242440404 303050505 323253872 404067340 484880808 505084175 606101010 808134680 969761616 1010168350 1212202020 1515252525 1616269360 2020336700 2424404040 2525420875 3030505050 4040673400 4848808080 5050841750 6061010100 7576262625 8081346800 10101683500 12122020200 15152525250 20203367000 24244040400 30305050500 40406734000 60610101000 121220202000