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12200355401340 = 2235435478645009
BaseRepresentation
bin1011000110001001110111…
…0110011000111001111100
31121012100020202010001021110
42301202131312120321330
53044342311440320330
641540433233402020
72366306115561021
oct261423566307174
947170222101243
1012200355401340
11398416161a317
121450616409310
136a66475365c2
14302700d75548
1516255c698db0
hexb189dd98e7c

12200355401340 has 96 divisors (see below), whose sum is σ = 35019344828160. Its totient is φ = 3171957175296.

The previous prime is 12200355401323. The next prime is 12200355401341. The reversal of 12200355401340 is 4310455300221.

It is a super-2 number, since 2×122003554013402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12200355401298 and 12200355401307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200355401341) 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, 2911245 + ... + 5733764.

It is an arithmetic number, because the mean of its divisors is an integer number (364784841960).

Almost surely, 212200355401340 is an apocalyptic number.

12200355401340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200355401340 is an abundant number, since it is smaller than the sum of its proper divisors (22818989426820).

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

12200355401340 is a wasteful number, since it uses less digits than its factorization.

12200355401340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8645611 (or 8645609 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 12200355401340 in words is "twelve trillion, two hundred billion, three hundred fifty-five million, four hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 547 645 860 1094 1290 1641 2188 2580 2735 3282 5470 6564 8205 10940 16410 23521 32820 47042 70563 94084 117605 141126 235210 282252 352815 470420 705630 1411260 8645009 17290018 25935027 34580036 43225045 51870054 86450090 103740108 129675135 172900180 259350270 371735387 518700540 743470774 1115206161 1486941548 1858676935 2230412322 3717353870 4460824644 4728819923 5576030805 7434707740 9457639846 11152061610 14186459769 18915279692 22304123220 23644099615 28372919538 47288199230 56745839076 70932298845 94576398460 141864597690 203339256689 283729195380 406678513378 610017770067 813357026756 1016696283445 1220035540134 2033392566890 2440071080268 3050088850335 4066785133780 6100177700670 12200355401340