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122010200010120 = 23351233078245693
BaseRepresentation
bin11011101111011110110110…
…101000010110110110001000
3121000000001122121202002100010
4123233132312220112312020
5111443003342200310440
61111254413451311520
734461642332303112
oct3357366650266610
9530001577662303
10122010200010120
1135970265119624
121182648914b5a0
135310687c3a296
14221b47a4683b2
15e18b72d4d580
hex6ef7b6a16d88

122010200010120 has 64 divisors (see below), whose sum is σ = 366033612870720. Its totient is φ = 32535785528064.

The previous prime is 122010200010103. The next prime is 122010200010131. The reversal of 122010200010120 is 21010002010221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122010200010096 and 122010200010105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10673994 + ... + 18919686.

It is an arithmetic number, because the mean of its divisors is an integer number (5719275201105).

Almost surely, 2122010200010120 is an apocalyptic number.

122010200010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010200010120 is an abundant number, since it is smaller than the sum of its proper divisors (244023412860600).

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

122010200010120 is a wasteful number, since it uses less digits than its factorization.

122010200010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369014 (or 8369010 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122010200010120 its reverse (21010002010221), we get a palindrome (143020202020341).

The spelling of 122010200010120 in words is "one hundred twenty-two trillion, ten billion, two hundred million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 123307 246614 369921 493228 616535 739842 986456 1233070 1479684 1849605 2466140 2959368 3699210 4932280 7398420 8245693 14796840 16491386 24737079 32982772 41228465 49474158 65965544 82456930 98948316 123685395 164913860 197896632 247370790 329827720 494741580 989483160 1016751666751 2033503333502 3050255000253 4067006667004 5083758333755 6100510000506 8134013334008 10167516667510 12201020001012 15251275001265 20335033335020 24402040002024 30502550002530 40670066670040 61005100005060 122010200010120