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121334230312300 = 225219713187282221
BaseRepresentation
bin11011100101101001010011…
…101100100110010101101100
3120220121102212010111112002001
4123211221103230212111230
5111400420000424443200
61110020101554542044
734362052223544445
oct3345512354462554
9526542763445061
10121334230312300
113572a61591a6a5
1211737478297924
1352919cc149075
1421d687280a2cc
15e062ad77076a
hex6e5a53b2656c

121334230312300 has 144 divisors (see below), whose sum is σ = 281145673025280. Its totient is φ = 45317307168000.

The previous prime is 121334230312297. The next prime is 121334230312301. The reversal of 121334230312300 is 3213032433121.

It is not an unprimeable number, because it can be changed into a prime (121334230312301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429785190 + ... + 430067410.

It is an arithmetic number, because the mean of its divisors is an integer number (1952400507120).

Almost surely, 2121334230312300 is an apocalyptic number.

121334230312300 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 121334230312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140572836512640).

121334230312300 is an abundant number, since it is smaller than the sum of its proper divisors (159811442712980).

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

121334230312300 is a wasteful number, since it uses less digits than its factorization.

121334230312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285512 (or 285505 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 121334230312300 its reverse (3213032433121), we get a palindrome (124547262745421).

The spelling of 121334230312300 in words is "one hundred twenty-one trillion, three hundred thirty-four billion, two hundred thirty million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 71 76 95 100 142 190 284 355 380 475 710 950 1349 1420 1775 1900 2698 3187 3550 5396 6374 6745 7100 12748 13490 15935 26980 31870 33725 60553 63740 67450 79675 121106 134900 159350 226277 242212 282221 302765 318700 452554 564442 605530 905108 1128884 1131385 1211060 1411105 1513825 2262770 2822210 3027650 4299263 4525540 5362199 5644420 5656925 6055300 7055525 8598526 10724398 11313850 14111050 17197052 20037691 21448796 21496315 22627700 26810995 28222100 40075382 42992630 53621990 80150764 85985260 100188455 107243980 107481575 134054975 200376910 214963150 268109950 380716129 400753820 429926300 500942275 536219900 761432258 899438327 1001884550 1522864516 1798876654 1903580645 2003769100 3597753308 3807161290 4497191635 7614322580 8994383270 9517903225 17089328213 17988766540 19035806450 22485958175 34178656426 38071612900 44971916350 63860121217 68357312852 85446641065 89943832700 127720242434 170893282130 255440484868 319300606085 341786564260 427233205325 638601212170 854466410650 1213342303123 1277202424340 1596503030425 1708932821300 2426684606246 3193006060850 4853369212492 6066711515615 6386012121700 12133423031230 24266846062460 30333557578075 60667115156150 121334230312300