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121121020001200 = 245223123771063693
BaseRepresentation
bin11011100010100010101111…
…010111110011101110110000
3120212212001112010200111112011
4123202202233113303232300
5111333421322110014300
61105334121202012304
734340463534032062
oct3342425727635660
9525761463614464
10121121020001200
113565815519921a
1211702094647094
13527788100087b
1421ca408095732
15e009806a4eba
hex6e28af5f3bb0

121121020001200 has 120 divisors (see below), whose sum is σ = 303669949513248. Its totient is φ = 46338167715840.

The previous prime is 121121020001173. The next prime is 121121020001209. The reversal of 121121020001200 is 2100020121121.

It is a super-2 number, since 2×1211210200012002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121121020001209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113336554 + ... + 114400246.

Almost surely, 2121121020001200 is an apocalyptic number.

121121020001200 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 121121020001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151834974756624).

121121020001200 is an abundant number, since it is smaller than the sum of its proper divisors (182548929512048).

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

121121020001200 is a wasteful number, since it uses less digits than its factorization.

121121020001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076111 (or 1076100 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121121020001200 its reverse (2100020121121), we get a palindrome (123221040122321).

The spelling of 121121020001200 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twenty million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 12377 24754 49508 61885 99016 123770 198032 247540 284671 309425 495080 569342 618850 990160 1063693 1138684 1237700 1423355 2127386 2277368 2475400 2846710 4254772 4554736 4950800 5318465 5693420 7116775 8509544 10636930 11386840 14233550 17019088 21273860 22773680 24464939 26592325 28467100 42547720 48929878 53184650 56934200 85095440 97859756 106369300 113868400 122324695 195719512 212738600 244649390 391439024 425477200 489298780 611623475 978597560 1223246950 1957195120 2446493900 4892987800 9785975600 13165328261 26330656522 52661313044 65826641305 105322626088 131653282610 210645252176 263306565220 302802550003 329133206525 526613130440 605605100006 658266413050 1053226260880 1211210200012 1316532826100 1514012750015 2422420400024 2633065652200 3028025500030 4844840800048 5266131304400 6056051000060 7570063750075 12112102000120 15140127500150 24224204000240 30280255000300 60560510000600 121121020001200