Search a number
-
+
121222002300 = 223527268921467
BaseRepresentation
bin111000011100101100…
…1001111011001111100
3102120220011120202111220
41300321121033121330
53441230313033200
6131404424113340
711520665006220
oct1607131173174
9376804522456
10121222002300
1147456729583
121b5b1005850
13b57b413459
145c1d762780
1532473da4a0
hex1c3964f67c

121222002300 has 144 divisors (see below), whose sum is σ = 401008500480. Its totient is φ = 27696291840.

The previous prime is 121222002299. The next prime is 121222002311. The reversal of 121222002300 is 3200222121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121222002300.

It is a congruent number.

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, 5636167 + ... + 5657633.

Almost surely, 2121222002300 is an apocalyptic number.

121222002300 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 121222002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200504250240).

121222002300 is an abundant number, since it is smaller than the sum of its proper divisors (279786498180).

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

121222002300 is a wasteful number, since it uses less digits than its factorization.

121222002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24180 (or 24173 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 121222002300 its reverse (3200222121), we get a palindrome (124422224421).

The spelling of 121222002300 in words is "one hundred twenty-one billion, two hundred twenty-two million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 2689 5378 8067 10756 13445 16134 18823 21467 26890 32268 37646 40335 42934 53780 56469 64401 67225 75292 80670 85868 94115 107335 112938 128802 134450 150269 161340 188230 201675 214670 225876 257604 268900 282345 300538 322005 376460 403350 429340 450807 470575 536675 564690 601076 644010 751345 806700 901614 941150 1073350 1129380 1288020 1411725 1502690 1610025 1803228 1882300 2146700 2254035 2823450 3005380 3220050 3756725 4508070 5646900 6440100 7513450 9016140 11270175 15026900 22540350 45080700 57724763 115449526 173174289 230899052 288623815 346348578 404073341 577247630 692697156 808146682 865871445 1154495260 1212220023 1443119075 1616293364 1731742890 2020366705 2424440046 2886238150 3463485780 4040733410 4329357225 4848880092 5772476300 6061100115 8081466820 8658714450 10101833525 12122200230 17317428900 20203667050 24244400460 30305500575 40407334100 60611001150 121222002300