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121020011202020 = 225721814791424351
BaseRepresentation
bin11011100001000100101010…
…110001110100010111100100
3120212111101210122210211221212
4123201010222301310113210
5111330242440331431040
61105215454200530552
734330256460304100
oct3341045261642744
9525441718724855
10121020011202020
113561933137a397
12116a65a4a80a58
13526b1a44c2b48
1421c5585076900
15ded01caebd65
hex6e112ac745e4

121020011202020 has 144 divisors (see below), whose sum is σ = 297888749383680. Its totient is φ = 41177160864000.

The previous prime is 121020011201939. The next prime is 121020011202049. The reversal of 121020011202020 is 20202110020121.

It is a super-2 number, since 2×1210200112020202 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121020011201986 and 121020011202004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84252845 + ... + 85677195.

It is an arithmetic number, because the mean of its divisors is an integer number (2068671870720).

Almost surely, 2121020011202020 is an apocalyptic number.

121020011202020 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 121020011202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148944374691840).

121020011202020 is an abundant number, since it is smaller than the sum of its proper divisors (176868738181660).

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

121020011202020 is a wasteful number, since it uses less digits than its factorization.

121020011202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425034 (or 1425025 counting only the distinct ones).

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

Adding to 121020011202020 its reverse (20202110020121), we get a palindrome (141222121222141).

The spelling of 121020011202020 in words is "one hundred twenty-one trillion, twenty billion, eleven million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 181 196 245 362 479 490 724 905 958 980 1267 1810 1916 2395 2534 3353 3620 4790 5068 6335 6706 8869 9580 12670 13412 16765 17738 23471 25340 33530 35476 44345 46942 67060 86699 88690 93884 117355 173398 177380 234710 346796 433495 469420 606893 866990 1213786 1424351 1733980 2427572 2848702 3034465 4248251 5697404 6068930 7121755 8496502 9970457 12137860 14243510 16993004 19940914 21241255 28487020 39881828 42482510 49852285 69793199 84965020 99704570 139586398 199409140 257807531 279172796 348965995 515615062 682264129 697931990 1031230124 1289037655 1364528258 1395863980 1804652717 2578075310 2729056516 3411320645 3609305434 4775848903 5156150620 6822641290 7218610868 9023263585 9551697806 12632569019 13645282580 18046527170 19103395612 23879244515 25265138038 33430942321 36093054340 47758489030 50530276076 63162845095 66861884642 95516978060 123489807349 126325690190 133723769284 167154711605 246979614698 252651380380 334309423210 493959229396 617449036745 668618846420 864428651443 1234898073490 1728857302886 2469796146980 3457714605772 4322143257215 6051000560101 8644286514430 12102001120202 17288573028860 24204002240404 30255002800505 60510005601010 121020011202020