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121010010121200 = 24352290593470239
BaseRepresentation
bin11011100000111011010110…
…101010101110001111110000
3120212110102222200000022020010
4123200323112222232033300
5111330112000042334300
61105211121535014520
734326453600441054
oct3340732652561760
9525412880008203
10121010010121200
1135615069a97342
12116a467366a440
13526a26c517745
1421c4cb6b11c64
15decb34ac8a50
hex6e0ed6aae3f0

121010010121200 has 120 divisors (see below), whose sum is σ = 387648850393600. Its totient is φ = 32268216257280.

The previous prime is 121010010121163. The next prime is 121010010121201. The reversal of 121010010121200 is 2121010010121.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121010010121201) 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, 33135681 + ... + 36605919.

Almost surely, 2121010010121200 is an apocalyptic number.

121010010121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121010010121200 is an abundant number, since it is smaller than the sum of its proper divisors (266638840272400).

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

121010010121200 is a wasteful number, since it uses less digits than its factorization.

121010010121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499319 (or 3499308 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121010010121200 its reverse (2121010010121), we get a palindrome (123131020131321).

The spelling of 121010010121200 in words is "one hundred twenty-one trillion, ten billion, ten million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 29059 58118 87177 116236 145295 174354 232472 290590 348708 435885 464944 581180 697416 726475 871770 1162360 1394832 1452950 1743540 2179425 2324720 2905900 3470239 3487080 4358850 5811800 6940478 6974160 8717700 10410717 11623600 13880956 17351195 17435400 20821434 27761912 34702390 34870800 41642868 52053585 55523824 69404780 83285736 86755975 104107170 138809560 166571472 173511950 208214340 260267925 277619120 347023900 416428680 520535850 694047800 832857360 1041071700 1388095600 2082143400 4164286800 100841675101 201683350202 302525025303 403366700404 504208375505 605050050606 806733400808 1008416751010 1210100101212 1512625126515 1613466801616 2016833502020 2420200202424 2521041877525 3025250253030 4033667004040 4840400404848 5042083755050 6050500506060 7563125632575 8067334008080 10084167510100 12101001012120 15126251265150 20168335020200 24202002024240 30252502530300 40336670040400 60505005060600 121010010121200