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1021201201200 = 24352899561809
BaseRepresentation
bin11101101110001000101…
…01011011100000110000
310121121220021020001000010
432313010111123200300
5113212410001414300
62101044445454520
7133531213663155
oct16670425334060
93547807201003
101021201201200
113640a8501184
12145aba271440
13753b67985cb
14375d809222c
151b86cba8a50
hexedc455b830

1021201201200 has 120 divisors (see below), whose sum is σ = 3308003787600. Its totient is φ = 269260513280.

The previous prime is 1021201201193. The next prime is 1021201201261. The reversal of 1021201201200 is 21021021201.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4674105 + ... + 4887704.

It is an arithmetic number, because the mean of its divisors is an integer number (27566698230).

Almost surely, 21021201201200 is an apocalyptic number.

1021201201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021201201200 is an abundant number, since it is smaller than the sum of its proper divisors (2286802586400).

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

1021201201200 is a wasteful number, since it uses less digits than its factorization.

1021201201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9561919 (or 9561908 counting only the distinct ones).

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

Adding to 1021201201200 its reverse (21021021201), we get a palindrome (1042222222401).

The spelling of 1021201201200 in words is "one trillion, twenty-one billion, two hundred one million, two hundred 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 89 100 120 150 178 200 240 267 300 356 400 445 534 600 712 890 1068 1200 1335 1424 1780 2136 2225 2670 3560 4272 4450 5340 6675 7120 8900 10680 13350 17800 21360 26700 35600 53400 106800 9561809 19123618 28685427 38247236 47809045 57370854 76494472 95618090 114741708 143427135 152988944 191236180 229483416 239045225 286854270 382472360 458966832 478090450 573708540 717135675 764944720 851001001 956180900 1147417080 1434271350 1702002002 1912361800 2294834160 2553003003 2868542700 3404004004 3824723600 4255005005 5106006006 5737085400 6808008008 8510010010 10212012012 11474170800 12765015015 13616016016 17020020020 20424024024 21275025025 25530030030 34040040040 40848048048 42550050050 51060060060 63825075075 68080080080 85100100100 102120120120 127650150150 170200200200 204240240240 255300300300 340400400400 510600600600 1021201201200