Search a number
-
+
121222320 = 24352917417
BaseRepresentation
bin1110011100110…
…11010010110000
322110002201202120
413032123102300
5222013103240
620010114240
73001241562
oct716332260
9273081676
10121222320
116247713a
123471b980
131c1643ab
1412157332
15a997ad0
hex739b4b0

121222320 has 80 divisors (see below), whose sum is σ = 388769760. Its totient is φ = 31209472.

The previous prime is 121222273. The next prime is 121222331. The reversal of 121222320 is 23222121.

It is a happy number.

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

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 121222320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1749 + ... + 15668.

It is an arithmetic number, because the mean of its divisors is an integer number (4859622).

Almost surely, 2121222320 is an apocalyptic number.

121222320 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 121222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194384880).

121222320 is an abundant number, since it is smaller than the sum of its proper divisors (267547440).

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

121222320 is a wasteful number, since it uses less digits than its factorization.

121222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17462 (or 17456 counting only the distinct ones).

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

The square root of 121222320 is about 11010.1008169771. The cubic root of 121222320 is about 494.9114829988.

Adding to 121222320 its reverse (23222121), we get a palindrome (144444441).

It can be divided in two parts, 1212 and 22320, that added together give a palindrome (23532).

The spelling of 121222320 in words is "one hundred twenty-one million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 17417 34834 52251 69668 87085 104502 139336 174170 209004 261255 278672 348340 418008 505093 522510 696680 836016 1010186 1045020 1393360 1515279 2020372 2090040 2525465 3030558 4040744 4180080 5050930 6061116 7576395 8081488 10101860 12122232 15152790 20203720 24244464 30305580 40407440 60611160 121222320