Search a number
-
+
121321320 = 233523113389
BaseRepresentation
bin1110011101100…
…11011101101000
322110021202120020
413032303131220
5222024240240
620012200440
73002133321
oct716633550
9273252506
10121321320
116253455a
1234769120
131c19a483
1412181448
15a9b70d0
hex73b3768

121321320 has 128 divisors (see below), whose sum is σ = 384134400. Its totient is φ = 30593024.

The previous prime is 121321307. The next prime is 121321339. The reversal of 121321320 is 23123121.

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 121321320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311686 + ... + 312074.

It is an arithmetic number, because the mean of its divisors is an integer number (3001050).

Almost surely, 2121321320 is an apocalyptic number.

121321320 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 121321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192067200).

121321320 is an abundant number, since it is smaller than the sum of its proper divisors (262813080).

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

121321320 is a wasteful number, since it uses less digits than its factorization.

121321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 121321320 is about 11014.5957710667. The cubic root of 121321320 is about 495.0461746539.

Adding to 121321320 its reverse (23123121), we get a palindrome (144444441).

The spelling of 121321320 in words is "one hundred twenty-one million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 113 115 120 138 184 226 230 276 339 345 389 452 460 552 565 678 690 778 904 920 1130 1167 1356 1380 1556 1695 1945 2260 2334 2599 2712 2760 3112 3390 3890 4520 4668 5198 5835 6780 7780 7797 8947 9336 10396 11670 12995 13560 15560 15594 17894 20792 23340 25990 26841 31188 35788 38985 43957 44735 46680 51980 53682 62376 71576 77970 87914 89470 103960 107364 131871 134205 155940 175828 178940 214728 219785 263742 268410 311880 351656 357880 439570 527484 536820 659355 879140 1011011 1054968 1073640 1318710 1758280 2022022 2637420 3033033 4044044 5055055 5274840 6066066 8088088 10110110 12132132 15165165 20220220 24264264 30330330 40440440 60660660 121321320