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12020101010200 = 23522310332529589
BaseRepresentation
bin1010111011101010010111…
…0110011101001100011000
31120120002222111200012222201
42232322211312131030120
53033414131324311300
641321542544255544
72350265210536543
oct256724566351430
946502874605881
1012020101010200
113914772725328
1214216ab6115b4
1369264bca2a6a
142d7ac147985a
1515ca0c99066a
hexaeea5d9d318

12020101010200 has 96 divisors (see below), whose sum is σ = 29190052029600. Its totient is φ = 4594541276160.

The previous prime is 12020101010189. The next prime is 12020101010201. The reversal of 12020101010200 is 201010102021.

It is a super-2 number, since 2×120201010102002 (a number of 27 digits) contains 22 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 (12020101010201) 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, 3487006 + ... + 6016594.

It is an arithmetic number, because the mean of its divisors is an integer number (304063041975).

Almost surely, 212020101010200 is an apocalyptic number.

12020101010200 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 12020101010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14595026014800).

12020101010200 is an abundant number, since it is smaller than the sum of its proper divisors (17169951019400).

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

12020101010200 is a wasteful number, since it uses less digits than its factorization.

12020101010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530661 (or 2530652 counting only the distinct ones).

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

Adding to 12020101010200 its reverse (201010102021), we get a palindrome (12221111112221).

The spelling of 12020101010200 in words is "twelve trillion, twenty billion, one hundred one million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1033 1150 2066 2300 4132 4600 5165 8264 10330 20660 23759 25825 41320 47518 51650 95036 103300 118795 190072 206600 237590 475180 593975 950360 1187950 2375900 2529589 4751800 5059178 10118356 12647945 20236712 25295890 50591780 58180547 63239725 101183560 116361094 126479450 232722188 252958900 290902735 465444376 505917800 581805470 1163610940 1454513675 2327221880 2613065437 2909027350 5226130874 5818054700 10452261748 11636109400 13065327185 20904523496 26130654370 52261308740 60100505051 65326635925 104522617480 120201010102 130653271850 240402020204 261306543700 300502525255 480804040408 522613087400 601005050510 1202010101020 1502512626275 2404020202040 3005025252550 6010050505100 12020101010200