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121341432300 = 223521141778803
BaseRepresentation
bin111000100000010000…
…0110101000111101100
3102121012111022102200020
41301000200311013230
53442001401313200
6131424332002140
711523645104514
oct1610040650754
9377174272606
10121341432300
1147508091060
121b625000350
13b59a09aaaa
145c31570844
153252b2bea0
hex1c408351ec

121341432300 has 144 divisors (see below), whose sum is σ = 383132894592. Its totient is φ = 29405721600.

The previous prime is 121341432293. The next prime is 121341432313. The reversal of 121341432300 is 3234143121.

It is a happy number.

121341432300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 13779699 + ... + 13788501.

Almost surely, 2121341432300 is an apocalyptic number.

121341432300 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 121341432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191566447296).

121341432300 is an abundant number, since it is smaller than the sum of its proper divisors (261791462292).

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

121341432300 is a wasteful number, since it uses less digits than its factorization.

121341432300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13008 (or 13001 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 121341432300 its reverse (3234143121), we get a palindrome (124575575421).

The spelling of 121341432300 in words is "one hundred twenty-one billion, three hundred forty-one million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 4177 8354 8803 12531 16708 17606 20885 25062 26409 35212 41770 44015 45947 50124 52818 62655 83540 88030 91894 96833 104425 105636 125310 132045 137841 176060 183788 193666 208850 220075 229735 250620 264090 275682 290499 313275 387332 417700 440150 459470 484165 528180 551364 580998 626550 660225 689205 880300 918940 968330 1148675 1161996 1253100 1320450 1378410 1452495 1936660 2297350 2420825 2640900 2756820 2904990 3446025 4594700 4841650 5809980 6892050 7262475 9683300 13784100 14524950 29049900 36770131 73540262 110310393 147080524 183850655 220620786 367701310 404471441 441241572 551551965 735402620 808942882 919253275 1103103930 1213414323 1617885764 1838506550 2022357205 2206207860 2426828646 2757759825 3677013100 4044714410 4853657292 5515519650 6067071615 8089428820 10111786025 11031039300 12134143230 20223572050 24268286460 30335358075 40447144100 60670716150 121341432300