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1221221221122 = 237412149116089
BaseRepresentation
bin10001110001010110011…
…101010000001100000010
311022202012000011211200010
4101301112131100030002
5130002030113033442
62333004333005350
7154142000051250
oct21612635201402
94282160154603
101221221221122
11430a0a5a6671
12178820623856
138b211ca6c96
1443170aa55d0
1521b77c84b9c
hex11c56750302

1221221221122 has 96 divisors (see below), whose sum is σ = 2880332208000. Its totient is φ = 338122552320.

The previous prime is 1221221221111. The next prime is 1221221221151. The reversal of 1221221221122 is 2211221221221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10461654 + ... + 10577742.

It is an arithmetic number, because the mean of its divisors is an integer number (30003460500).

Almost surely, 21221221221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221221221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440166104000).

1221221221122 is an abundant number, since it is smaller than the sum of its proper divisors (1659110986878).

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

1221221221122 is a wasteful number, since it uses less digits than its factorization.

1221221221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116332 (or 116291 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

Adding to 1221221221122 its reverse (2211221221221), we get a palindrome (3432442442343).

Subtracting 1221221221122 from its reverse (2211221221221), we obtain a palindrome (990000000099).

The spelling of 1221221221122 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 149 246 287 298 447 574 861 894 1043 1681 1722 2086 3129 3362 5043 6109 6258 10086 11767 12218 18327 23534 35301 36654 42763 70602 85526 116089 128289 232178 250469 256578 348267 500938 696534 751407 812623 1502814 1625246 1753283 2437869 3506566 4759649 4875738 5259849 9519298 10519698 14278947 17297261 28557894 33317543 34594522 51891783 66635086 99952629 103783566 121080827 195145609 199905258 242161654 363242481 390291218 585436827 709187701 726484962 1170873654 1366019263 1418375402 2127563103 2732038526 4098057789 4255126206 4964313907 8196115578 9928627814 14892941721 29076695741 29785883442 58153391482 87230087223 174460174446 203536870187 407073740374 610610610561 1221221221122