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121324242200 = 23527463187171
BaseRepresentation
bin111000011111101111…
…1010000010100011000
3102121011021222002021212
41300333133100110120
53441433001222300
6131422515322252
711523346020560
oct1607737202430
9377137862255
10121324242200
11474a940a967
121b61b2b0388
13b59665c635
145c2d177da0
153251383935
hex1c3f7d0518

121324242200 has 96 divisors (see below), whose sum is σ = 323073845760. Its totient is φ = 41506819200.

The previous prime is 121324242121. The next prime is 121324242203. The reversal of 121324242200 is 2242423121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121324242203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554615 + ... + 741785.

It is an arithmetic number, because the mean of its divisors is an integer number (3365352560).

Almost surely, 2121324242200 is an apocalyptic number.

121324242200 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 121324242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161536922880).

121324242200 is an abundant number, since it is smaller than the sum of its proper divisors (201749603560).

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

121324242200 is a wasteful number, since it uses less digits than its factorization.

121324242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187657 (or 187648 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 121324242200 its reverse (2242423121), we get a palindrome (123566665321).

The spelling of 121324242200 in words is "one hundred twenty-one billion, three hundred twenty-four million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 463 700 926 1400 1852 2315 3241 3704 4630 6482 9260 11575 12964 16205 18520 23150 25928 32410 46300 64820 81025 92600 129640 162050 187171 324100 374342 648200 748684 935855 1310197 1497368 1871710 2620394 3743420 4679275 5240788 6550985 7486840 9358550 10481576 13101970 18717100 26203940 32754925 37434200 52407880 65509850 86660173 131019700 173320346 262039400 346640692 433300865 606621211 693281384 866601730 1213242422 1733203460 2166504325 2426484844 3033106055 3466406920 4333008650 4852969688 6066212110 8666017300 12132424220 15165530275 17332034600 24264848440 30331060550 60662121100 121324242200