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12200211201210 = 23523223306125903
BaseRepresentation
bin1011000110001001010101…
…0000010011110010111010
31121012022212200202220212220
42301202111100103302322
53044342013031414320
641540411042544510
72366302415105334
oct261422520236272
947168780686786
1012200211201210
11398409818965a
121450596068136
136a66236b8596
143026c9b5a454
1516254ebb2e40
hexb1895413cba

12200211201210 has 128 divisors (see below), whose sum is σ = 30701795475456. Its totient is φ = 3096851408640.

The previous prime is 12200211201203. The next prime is 12200211201221. The reversal of 12200211201210 is 1210211200221.

It is a super-2 number, since 2×122002112012102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12200211201210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470983119 + ... + 471009021.

It is an arithmetic number, because the mean of its divisors is an integer number (239857777152).

Almost surely, 212200211201210 is an apocalyptic number.

12200211201210 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 12200211201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350897737728).

12200211201210 is an abundant number, since it is smaller than the sum of its proper divisors (18501584274246).

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

12200211201210 is a wasteful number, since it uses less digits than its factorization.

12200211201210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29220.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12200211201210 its reverse (1210211200221), we get a palindrome (13410422401431).

The spelling of 12200211201210 in words is "twelve trillion, two hundred billion, two hundred eleven million, two hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 223 230 345 446 669 690 1115 1338 2230 3061 3345 5129 6122 6690 9183 10258 15305 15387 18366 25645 25903 30610 30774 45915 51290 51806 70403 76935 77709 91830 129515 140806 153870 155418 211209 259030 352015 388545 422418 595769 682603 704030 777090 1056045 1191538 1365206 1787307 2047809 2112090 2978845 3413015 3574614 4095618 5776369 5957690 6826030 8936535 10239045 11552738 15699869 17329107 17873070 20478090 28881845 31399738 34658214 47099607 57763690 78499345 79289083 86645535 94199214 132856487 156998690 158578166 173291070 235498035 237867249 265712974 396445415 398569461 470996070 475734498 664282435 792890830 797138922 1189336245 1328564870 1823648909 1992847305 2378672490 3647297818 3985694610 5470946727 9118244545 10941893454 17681465509 18236489090 27354733635 35362931018 53044396527 54709467270 88407327545 106088793054 176814655090 265221982635 406673706707 530443965270 813347413414 1220021120121 2033368533535 2440042240242 4066737067070 6100105600605 12200211201210