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20011201001200 = 2452417927153929
BaseRepresentation
bin1001000110011001110001…
…00001101111011011110000
32121212001102000010022201001
410203030320201233123300
510110330414424014300
6110321004022251344
74133522133662023
oct443147041573360
977761360108631
1020011201001200
116415780302022
1222b237a886b54
13b22081a562b6
144d2793ad11ba
1524a80d3cb16a
hex12333886f6f0

20011201001200 has 120 divisors (see below), whose sum is σ = 49256050848480. Its totient is φ = 7808213299200.

The previous prime is 20011201001191. The next prime is 20011201001219. The reversal of 20011201001200 is 210010211002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129925836 + ... + 130079764.

It is an arithmetic number, because the mean of its divisors is an integer number (410467090404).

Almost surely, 220011201001200 is an apocalyptic number.

20011201001200 is a gapful number since it is divisible by the number (20) 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 20011201001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24628025424240).

20011201001200 is an abundant number, since it is smaller than the sum of its proper divisors (29244849847280).

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

20011201001200 is a wasteful number, since it uses less digits than its factorization.

20011201001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161915 (or 161904 counting only the distinct ones).

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

Adding to 20011201001200 its reverse (210010211002), we get a palindrome (20221211212202).

The spelling of 20011201001200 in words is "twenty trillion, eleven billion, two hundred one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 7927 8200 15854 16400 31708 39635 63416 79270 126832 153929 158540 198175 307858 317080 325007 396350 615716 634160 650014 769645 792700 1231432 1300028 1539290 1585400 1625035 2462864 2600056 3078580 3170800 3250070 3848225 5200112 6157160 6311089 6500140 7696450 8125175 12314320 12622178 13000280 15392900 16250350 25244356 26000560 30785800 31555445 32500700 50488712 61571600 63110890 65001400 100977424 126221780 130002800 157777225 252443560 315554450 504887120 631108900 1220195183 1262217800 2440390366 2524435600 4880780732 6100975915 9761561464 12201951830 19523122928 24403903660 30504879575 48807807320 50028002503 61009759150 97615614640 100056005006 122019518300 200112010012 244039036600 250140012515 400224020024 488078073200 500280025030 800448040048 1000560050060 1250700062575 2001120100120 2501400125150 4002240200240 5002800250300 10005600500600 20011201001200