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121332122003120 = 24571093198229189
BaseRepresentation
bin11011100101100111010110…
…000010000010011010110000
3120220121020102012100022120212
4123211213112002002122300
5111400401141213044440
61110015112442323252
734361646043322450
oct3345472602023260
9526536365308525
10121332122003120
1135729733826816
1211736b8a1b9528
13529175440c142
1421d67127d9d60
15e061d8616465
hex6e59d60826b0

121332122003120 has 80 divisors (see below), whose sum is σ = 322691747983680. Its totient is φ = 41561524472832.

The previous prime is 121332122003017. The next prime is 121332122003123. The reversal of 121332122003120 is 21300221233121.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (121332122003123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98502515 + ... + 99726674.

It is an arithmetic number, because the mean of its divisors is an integer number (4033646849796).

Almost surely, 2121332122003120 is an apocalyptic number.

121332122003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121332122003120 is an abundant number, since it is smaller than the sum of its proper divisors (201359625980560).

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

121332122003120 is a wasteful number, since it uses less digits than its factorization.

121332122003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198230302 (or 198230296 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 121332122003120 its reverse (21300221233121), we get a palindrome (142632343236241).

The spelling of 121332122003120 in words is "one hundred twenty-one trillion, three hundred thirty-two billion, one hundred twenty-two million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1093 2186 4372 5465 7651 8744 10930 15302 17488 21860 30604 38255 43720 61208 76510 87440 122416 153020 306040 612080 198229189 396458378 792916756 991145945 1387604323 1585833512 1982291890 2775208646 3171667024 3964583780 5550417292 6938021615 7929167560 11100834584 13876043230 15858335120 22201669168 27752086460 55504172920 111008345840 216664503577 433329007154 866658014308 1083322517885 1516651525039 1733316028616 2166645035770 3033303050078 3466632057232 4333290071540 6066606100156 7583257625195 8666580143080 12133212200312 15166515250390 17333160286160 24266424400624 30333030500780 60666061001560 121332122003120