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121121020000 = 255427721863
BaseRepresentation
bin111000011001101100…
…0000001100001100000
3102120122010120022211201
41300303120001201200
53441023440120000
6131350415450544
711515330453201
oct1606330014140
9376563508751
10121121020000
1147404727032
121b583226a54
13b563517806
145c101975a8
15323d5de96a
hex1c33601860

121121020000 has 120 divisors (see below), whose sum is σ = 299065280976. Its totient is φ = 48271296000.

The previous prime is 121121019967. The next prime is 121121020021. The reversal of 121121020000 is 20121121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5529069 + ... + 5550931.

Almost surely, 2121121020000 is an apocalyptic number.

121121020000 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 121121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149532640488).

121121020000 is an abundant number, since it is smaller than the sum of its proper divisors (177944260976).

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

121121020000 is an equidigital number, since it uses as much as digits as its factorization.

121121020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22170 (or 22147 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121121020000 its reverse (20121121), we get a palindrome (121141141121).

It can be divided in two parts, 121 and 121020000, that added together give a palindrome (121020121).

The spelling of 121121020000 in words is "one hundred twenty-one billion, one hundred twenty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 277 400 500 554 625 800 1000 1108 1250 1385 2000 2216 2500 2770 4000 4432 5000 5540 6925 8864 10000 11080 13850 20000 21863 22160 27700 34625 43726 44320 55400 69250 87452 109315 110800 138500 173125 174904 218630 221600 277000 346250 349808 437260 546575 554000 692500 699616 874520 1093150 1108000 1385000 1749040 2186300 2732875 2770000 3498080 4372600 5465750 5540000 6056051 8745200 10931500 12112102 13664375 17490400 21863000 24224204 27328750 30280255 43726000 48448408 54657500 60560510 87452000 96896816 109315000 121121020 151401275 193793632 218630000 242242040 302802550 437260000 484484080 605605100 757006375 968968160 1211210200 1514012750 2422420400 3028025500 3785031875 4844840800 6056051000 7570063750 12112102000 15140127500 24224204000 30280255000 60560510000 121121020000