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12122101001200 = 245229236034783
BaseRepresentation
bin1011000001100110010110…
…0001100010101111110000
31120220212021001122122010011
42300121211201202233300
53042102030324014300
641440452154144304
72360535651261601
oct260314541425760
946825231578104
1012122101001200
113953a54aa1253
121439417122094
1369c155c55718
142dc9d9d91da8
151604cc589eba
hexb0665862bf0

12122101001200 has 90 divisors (see below), whose sum is σ = 30162231286304. Its totient is φ = 4681638877440.

The previous prime is 12122101001183. The next prime is 12122101001201. The reversal of 12122101001200 is 210010122121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122101001201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17680992 + ... + 18353791.

Almost surely, 212122101001200 is an apocalyptic number.

12122101001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122101001200 is an abundant number, since it is smaller than the sum of its proper divisors (18040130285104).

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

12122101001200 is a wasteful number, since it uses less digits than its factorization.

12122101001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36034859 (or 36034819 counting only the distinct ones).

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

Adding to 12122101001200 its reverse (210010122121), we get a palindrome (12332111123321).

The spelling of 12122101001200 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 841 1160 1450 1682 2320 2900 3364 4205 5800 6728 8410 11600 13456 16820 21025 33640 42050 67280 84100 168200 336400 36034783 72069566 144139132 180173915 288278264 360347830 576556528 720695660 900869575 1045008707 1441391320 1801739150 2090017414 2882782640 3603478300 4180034828 5225043535 7206956600 8360069656 10450087070 14413913200 16720139312 20900174140 26125217675 30305252503 41800348280 52250435350 60610505006 83600696560 104500870700 121221010012 151526262515 209001741400 242442020024 303052525030 418003482800 484884040048 606105050060 757631312575 1212210100120 1515262625150 2424420200240 3030525250300 6061050500600 12122101001200