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1000011201200 = 2452111345716889
BaseRepresentation
bin11101000110101010100…
…11111111101010110000
310112121012111111111122022
432203111103333222300
5112341010331414300
62043222050331012
7132151131650414
oct16432523775260
93477174444568
101000011201200
11356114286590
12141985889a68
13733ba6bb07b
1436587b20d44
151b02c72a285
hexe8d54ffab0

1000011201200 has 120 divisors (see below), whose sum is σ = 2621288409840. Its totient is φ = 363591884800.

The previous prime is 1000011201193. The next prime is 1000011201209. The reversal of 1000011201200 is 21021100001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1000011201209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59202356 + ... + 59219244.

It is an arithmetic number, because the mean of its divisors is an integer number (21844070082).

Almost surely, 21000011201200 is an apocalyptic number.

1000011201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000011201200 is an abundant number, since it is smaller than the sum of its proper divisors (1621277208640).

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

1000011201200 is a wasteful number, since it uses less digits than its factorization.

1000011201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30375 (or 30364 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000011201200 its reverse (21021100001), we get a palindrome (1021032301201).

The spelling of 1000011201200 in words is "one trillion, eleven million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 13457 16889 26914 33778 53828 67285 67556 84445 107656 134570 135112 148027 168890 185779 215312 269140 270224 296054 336425 337780 371558 422225 538280 592108 672850 675560 740135 743116 844450 928895 1076560 1184216 1345700 1351120 1480270 1486232 1688900 1857790 2368432 2691400 2960540 2972464 3377800 3700675 3715580 4644475 5382800 5921080 6755600 7401350 7431160 9288950 11842160 14802700 14862320 18577900 29605400 37155800 59210800 74311600 227275273 454550546 909101092 1136376365 1818202184 2272752730 2500028003 3636404368 4545505460 5000056006 5681881825 9091010920 10000112012 11363763650 12500140015 18182021840 20000224024 22727527300 25000280030 40000448048 45455054600 50000560060 62500700075 90910109200 100001120120 125001400150 200002240240 250002800300 500005600600 1000011201200