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121113342220 = 2251310928315101
BaseRepresentation
bin111000011001011101…
…0101111000100001100
3102120121121010020220111
41300302322233010030
53441020003422340
6131345543125404
711515205265043
oct1606272570414
9376547106814
10121113342220
1147400362662
121b580743864
13b561a59c50
145c0d15955a
15323cac4aea
hex1c32eaf10c

121113342220 has 96 divisors (see below), whose sum is σ = 277410450240. Its totient is φ = 44149017600.

The previous prime is 121113342209. The next prime is 121113342241. The reversal of 121113342220 is 22243311121.

It is a junction number, because it is equal to n+sod(n) for n = 121113342191 and 121113342200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8012670 + ... + 8027770.

It is an arithmetic number, because the mean of its divisors is an integer number (2889692190).

Almost surely, 2121113342220 is an apocalyptic number.

121113342220 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 121113342220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138705225120).

121113342220 is an abundant number, since it is smaller than the sum of its proper divisors (156297108020).

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

121113342220 is a wasteful number, since it uses less digits than its factorization.

121113342220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15515 (or 15513 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 121113342220 its reverse (22243311121), we get a palindrome (143356653341).

The spelling of 121113342220 in words is "one hundred twenty-one billion, one hundred thirteen million, three hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 283 436 545 566 1090 1132 1415 1417 2180 2830 2834 3679 5660 5668 7085 7358 14170 14716 15101 18395 28340 30202 30847 36790 60404 61694 73580 75505 123388 151010 154235 196313 302020 308470 392626 401011 616940 785252 802022 981565 1604044 1646009 1963130 2005055 3292018 3926260 4010110 4273583 6584036 8020220 8230045 8547166 16460090 17094332 21367915 21398117 32920180 42735830 42796234 55556579 85471660 85592468 106990585 111113158 213981170 222226316 277782895 427962340 465820547 555565790 931641094 1111131580 1863282188 2329102735 4658205470 6055667111 9316410940 12111334222 24222668444 30278335555 60556671110 121113342220