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12200111201020 = 22517591394375403
BaseRepresentation
bin1011000110001000111101…
…0010110101101011111100
31121012022121201121101102011
42301202033102311223330
53044341311431413040
641540353111341004
72366300062112521
oct261421722655374
947168551541364
1012200111201020
113984046797a76
121450568681764
136a6608a74982
143026ba769148
1516254600d3ea
hexb188f4b5afc

12200111201020 has 96 divisors (see below), whose sum is σ = 27785565561600. Its totient is φ = 4482651853824.

The previous prime is 12200111201011. The next prime is 12200111201023. The reversal of 12200111201020 is 2010211100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200111201023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600639 + ... + 4976041.

It is an arithmetic number, because the mean of its divisors is an integer number (289432974600).

Almost surely, 212200111201020 is an apocalyptic number.

12200111201020 is a gapful number since it is divisible by the number (10) 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 12200111201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892782780800).

12200111201020 is an abundant number, since it is smaller than the sum of its proper divisors (15585454360580).

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

12200111201020 is a wasteful number, since it uses less digits than its factorization.

12200111201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375627 (or 4375625 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12200111201020 its reverse (2010211100221), we get a palindrome (14210322301241).

The spelling of 12200111201020 in words is "twelve trillion, two hundred billion, one hundred eleven million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 139 170 236 278 295 340 556 590 695 1003 1180 1390 2006 2363 2780 4012 4726 5015 8201 9452 10030 11815 16402 20060 23630 32804 41005 47260 82010 139417 164020 278834 557668 697085 1394170 2788340 4375403 8750806 17501612 21877015 43754030 74381851 87508060 148763702 258148777 297527404 371909255 516297554 608181017 743818510 1032595108 1216362034 1290743885 1487637020 2432724068 2581487770 3040905085 4388529209 5162975540 6081810170 8777058418 10339077289 12163620340 17554116836 20678154578 21942646045 35882680003 41356309156 43885292090 51695386445 71765360006 87770584180 103390772890 143530720012 179413400015 206781545780 358826800030 610005560051 717653600060 1220011120102 2440022240204 3050027800255 6100055600510 12200111201020