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200121111200 = 25527116692111
BaseRepresentation
bin1011101001100000100…
…1011101001010100000
3201010112210011202211102
42322120021131022200
511234322001024300
6231533453533532
720313121243613
oct2723011351240
9633483152742
10200121111200
11779641718aa
12329501a42a8
1315b43444aca
14998620a17a
155313de90d5
hex2e9825d2a0

200121111200 has 144 divisors (see below), whose sum is σ = 495958256640. Its totient is φ = 78836352000.

The previous prime is 200121111199. The next prime is 200121111221. The reversal of 200121111200 is 2111121002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94798145 + ... + 94800255.

It is an arithmetic number, because the mean of its divisors is an integer number (3444154560).

Almost surely, 2200121111200 is an apocalyptic number.

200121111200 is a gapful number since it is divisible by the number (20) 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 200121111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247979128320).

200121111200 is an abundant number, since it is smaller than the sum of its proper divisors (295837145440).

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

200121111200 is a wasteful number, since it uses less digits than its factorization.

200121111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200121111200 its reverse (2111121002), we get a palindrome (202232232202).

The spelling of 200121111200 in words is "two hundred billion, one hundred twenty-one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 142 160 200 284 355 400 568 710 800 1136 1420 1669 1775 2111 2272 2840 3338 3550 4222 5680 6676 7100 8345 8444 10555 11360 13352 14200 16690 16888 21110 26704 28400 33380 33776 41725 42220 52775 53408 56800 66760 67552 83450 84440 105550 118499 133520 149881 166900 168880 211100 236998 267040 299762 333800 337760 422200 473996 592495 599524 667600 749405 844400 947992 1184990 1199048 1335200 1498810 1688800 1895984 2369980 2398096 2962475 2997620 3523259 3747025 3791968 4739960 4796192 5924950 5995240 7046518 7494050 9479920 11849900 11990480 14093036 14988100 17616295 18959840 23699800 23980960 28186072 29976200 35232590 47399600 56372144 59952400 70465180 88081475 94799200 112744288 119904800 140930360 176162950 250151389 281860720 352325900 500302778 563721440 704651800 1000605556 1250756945 1409303600 2001211112 2501513890 2818607200 4002422224 5003027780 6253784725 8004844448 10006055560 12507569450 20012111120 25015138900 40024222240 50030277800 100060555600 200121111200