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1200013320 = 2335111019001
BaseRepresentation
bin100011110000110…
…1100000000001000
310002122000222210210
41013201230000020
54424200411240
6315024241120
741510642052
oct10741540010
93078028723
101200013320
11566415850
12295a701a0
131617ca56c
14b55348d2
157053e780
hex4786c008

1200013320 has 128 divisors (see below), whose sum is σ = 3966641280. Its totient is φ = 288000000.

The previous prime is 1200013273. The next prime is 1200013361. The reversal of 1200013320 is 233100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

1200013320 is a modest number, since divided by 13320 gives 1200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1200013296 and 1200013305.

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, 128820 + ... + 137820.

It is an arithmetic number, because the mean of its divisors is an integer number (30989385).

Almost surely, 21200013320 is an apocalyptic number.

1200013320 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 1200013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983320640).

1200013320 is an abundant number, since it is smaller than the sum of its proper divisors (2766627960).

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

1200013320 is a wasteful number, since it uses less digits than its factorization.

1200013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9127 (or 9123 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1200013320 is about 34641.2084084837. The cubic root of 1200013320 is about 1062.6625010048.

Adding to 1200013320 its reverse (233100021), we get a palindrome (1433113341).

It can be divided in two parts, 120001 and 3320, that added together give a palindrome (123321).

The spelling of 1200013320 in words is "one billion, two hundred million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 9001 11110 12120 13332 16665 18002 22220 26664 27003 33330 36004 44440 45005 54006 66660 72008 90010 99011 108012 133320 135015 180020 198022 216024 270030 297033 360040 396044 495055 540060 594066 792088 909101 990110 1080120 1188132 1485165 1818202 1980220 2376264 2727303 2970330 3636404 3960440 4545505 5454606 5940660 7272808 9091010 10000111 10909212 11881320 13636515 18182020 20000222 21818424 27273030 30000333 36364040 40000444 50000555 54546060 60000666 80000888 100001110 109092120 120001332 150001665 200002220 240002664 300003330 400004440 600006660 1200013320