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1200012012210 = 2351131673174299
BaseRepresentation
bin10001011101100110010…
…010100010101010110010
311020201102220022101122010
4101131212102202222302
5124130111033342320
62315140010023350
7152461262543034
oct21354622425262
94221386271563
101200012012210
11422a16551040
121746a1717b56
1389211c3241b
144211bd73c54
1521335caeae0
hex117664a2ab2

1200012012210 has 128 divisors (see below), whose sum is σ = 3248037273600. Its totient is φ = 281107814400.

The previous prime is 1200012012197. The next prime is 1200012012217. The reversal of 1200012012210 is 122102100021.

It is not an unprimeable number, because it can be changed into a prime (1200012012217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6797641 + ... + 6971939.

It is an arithmetic number, because the mean of its divisors is an integer number (25375291200).

Almost surely, 21200012012210 is an apocalyptic number.

1200012012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200012012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624018636800).

1200012012210 is an abundant number, since it is smaller than the sum of its proper divisors (2048025261390).

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

1200012012210 is a wasteful number, since it uses less digits than its factorization.

1200012012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175024.

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

Adding to 1200012012210 its reverse (122102100021), we get a palindrome (1322114112231).

The spelling of 1200012012210 in words is "one trillion, two hundred billion, twelve million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 673 682 930 1023 1346 1705 2019 2046 3365 3410 4038 5115 6730 7403 10095 10230 14806 20190 20863 22209 37015 41726 44418 62589 74030 104315 111045 125178 174299 208630 222090 229493 312945 348598 458986 522897 625890 688479 871495 1045794 1147465 1376958 1742990 1917289 2294930 2614485 3442395 3834578 5228970 5403269 5751867 6884790 9586445 10806538 11503734 16209807 19172890 27016345 28759335 32419614 54032690 57518670 59435959 81049035 117303227 118871918 162098070 178307877 234606454 297179795 351909681 356615754 586516135 594359590 703819362 891539385 1173032270 1290335497 1759548405 1783078770 2580670994 3519096810 3636400037 3871006491 6451677485 7272800074 7742012982 10909200111 12903354970 18182000185 19355032455 21818400222 36364000370 38710064910 40000400407 54546000555 80000800814 109092001110 120001201221 200002002035 240002402442 400004004070 600006006105 1200012012210