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1221221102200 = 235211743747107
BaseRepresentation
bin10001110001010110011…
…100110011001001111000
311022202011222221210112121
4101301112130303021320
5130002030100232300
62333004330251024
7154141666044451
oct21612634631170
94282158853477
101221221102200
11430a0a525290
12178820586a74
138b211c64b08
1443170a74128
1521b77c5e81a
hex11c56733278

1221221102200 has 96 divisors (see below), whose sum is σ = 3101633804160. Its totient is φ = 443482121600.

The previous prime is 1221221102197. The next prime is 1221221102219. The reversal of 1221221102200 is 22011221221.

It is a happy number.

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, 1261047 + ... + 2008153.

It is an arithmetic number, because the mean of its divisors is an integer number (32308685460).

Almost surely, 21221221102200 is an apocalyptic number.

1221221102200 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 1221221102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550816902080).

1221221102200 is an abundant number, since it is smaller than the sum of its proper divisors (1880412701960).

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

1221221102200 is a wasteful number, since it uses less digits than its factorization.

1221221102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747877 (or 747868 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1221221102200 its reverse (22011221221), we get a palindrome (1243232323421).

The spelling of 1221221102200 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 743 1100 1486 2200 2972 3715 5944 7430 8173 14860 16346 18575 29720 32692 37150 40865 65384 74300 81730 148600 163460 204325 326920 408650 747107 817300 1494214 1634600 2988428 3735535 5976856 7471070 8218177 14942140 16436354 18677675 29884280 32872708 37355350 41090885 65745416 74710700 82181770 149421400 164363540 205454425 328727080 410908850 555100501 821817700 1110201002 1643635400 2220402004 2775502505 4440804008 5551005010 6106105511 11102010020 12212211022 13877512525 22204020040 24424422044 27755025050 30530527555 48848844088 55510050100 61061055110 111020100200 122122110220 152652637775 244244220440 305305275550 610610551100 1221221102200