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12001101002200 = 23521011318745053
BaseRepresentation
bin1010111010100011100101…
…0111001011010111011000
31120111021221100210210212201
42232220321113023113120
53033111223324032300
641305121340215544
72346023320251322
oct256507127132730
946437840723781
1012001101002200
113907702714082
121419a8853a5b4
1369091183178b
142d6bdbcdc612
1515c29990366a
hexaea395cb5d8

12001101002200 has 96 divisors (see below), whose sum is σ = 28181585169360. Its totient is φ = 4752445376000.

The previous prime is 12001101002197. The next prime is 12001101002201. The reversal of 12001101002200 is 220010110021.

It is a super-4 number, since 4×120011010022004 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001101002201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266354874 + ... + 266399926.

Almost surely, 212001101002200 is an apocalyptic number.

12001101002200 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 12001101002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14090792584680).

12001101002200 is an abundant number, since it is smaller than the sum of its proper divisors (16180484167160).

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

12001101002200 is a wasteful number, since it uses less digits than its factorization.

12001101002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58357 (or 58348 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12001101002200 its reverse (220010110021), we get a palindrome (12221111112221).

The spelling of 12001101002200 in words is "twelve trillion, one billion, one hundred one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 13187 20200 26374 45053 52748 65935 90106 105496 131870 180212 225265 263740 329675 360424 450530 527480 659350 901060 1126325 1318700 1331887 1802120 2252650 2637400 2663774 4505300 4550353 5327548 6659435 9010600 9100706 10655096 13318870 18201412 22751765 26637740 33297175 36402824 45503530 53275480 66594350 91007060 113758825 133188700 182014120 227517650 266377400 455035300 594113911 910070600 1188227822 2376455644 2970569555 4752911288 5941139110 11882278220 14852847775 23764556440 29705695550 59411391100 60005505011 118822782200 120011010022 240022020044 300027525055 480044040088 600055050110 1200110100220 1500137625275 2400220200440 3000275250550 6000550501100 12001101002200