Search a number
-
+
1200012220 = 2251153971061
BaseRepresentation
bin100011110000110…
…1011101110111100
310002122000221022001
41013201223232330
54424200342340
6315024232044
741510635621
oct10741535674
93078027261
101200012220
11566414a40
12295a6b624
131617c9c04
14b5534348
157053e29a
hex4786bbbc

1200012220 has 96 divisors (see below), whose sum is σ = 2832532416. Its totient is φ = 423321600.

The previous prime is 1200012193. The next prime is 1200012221. The reversal of 1200012220 is 222100021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1200012197 and 1200012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200012221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130490 + ... + 1131550.

It is an arithmetic number, because the mean of its divisors is an integer number (29505546).

Almost surely, 21200012220 is an apocalyptic number.

1200012220 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 1200012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416266208).

1200012220 is an abundant number, since it is smaller than the sum of its proper divisors (1632520196).

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

1200012220 is a wasteful number, since it uses less digits than its factorization.

1200012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1200012220 is about 34641.1925314358. The cubic root of 1200012220 is about 1062.6621763058.

Adding to 1200012220 its reverse (222100021), we get a palindrome (1422112241).

It can be divided in two parts, 120001 and 2220, that added together give a palindrome (122221).

The spelling of 1200012220 in words is "one billion, two hundred million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 97 106 110 194 212 220 265 388 485 530 583 970 1060 1061 1067 1166 1940 2122 2134 2332 2915 4244 4268 5141 5305 5335 5830 10282 10610 10670 11660 11671 20564 21220 21340 23342 25705 46684 51410 56233 56551 58355 102820 102917 112466 113102 116710 205834 224932 226204 233420 281165 282755 411668 514585 562330 565510 618563 1029170 1124660 1131020 1132087 1237126 2058340 2264174 2474252 3092815 4528348 5454601 5660435 6185630 10909202 11320870 12371260 21818404 22641740 27273005 54546010 60000611 109092020 120001222 240002444 300003055 600006110 1200012220