Search a number
-
+
1200001212120 = 2335311013193871
BaseRepresentation
bin10001011101100101101…
…001010101111011011000
311020201102010222200200210
4101131211221111323120
5124130100302241440
62315134542331120
7152461102001634
oct21354551257330
94221363880623
101200001212120
11422a10444847
12174699b89aa0
138920c920639
144211a761dc4
1521334d79a80
hex11765a55ed8

1200001212120 has 128 divisors (see below), whose sum is σ = 3752927354880. Its totient is φ = 306611520000.

The previous prime is 1200001212103. The next prime is 1200001212121. The reversal of 1200001212120 is 212121000021.

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

It is a junction number, because it is equal to n+sod(n) for n = 1200001212096 and 1200001212105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200001212121) 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, 1221216 + ... + 1972655.

It is an arithmetic number, because the mean of its divisors is an integer number (29319744960).

Almost surely, 21200001212120 is an apocalyptic number.

1200001212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200001212120 is an abundant number, since it is smaller than the sum of its proper divisors (2552926142760).

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

1200001212120 is a wasteful number, since it uses less digits than its factorization.

1200001212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194017 (or 3194013 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1200001212120 its reverse (212121000021), we get a palindrome (1412122212141).

The spelling of 1200001212120 in words is "one trillion, two hundred billion, one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 101 120 124 155 186 202 248 303 310 372 404 465 505 606 620 744 808 930 1010 1212 1240 1515 1860 2020 2424 3030 3131 3720 4040 6060 6262 9393 12120 12524 15655 18786 25048 31310 37572 46965 62620 75144 93930 125240 187860 375720 3193871 6387742 9581613 12775484 15969355 19163226 25550968 31938710 38326452 47908065 63877420 76652904 95816130 99010001 127754840 191632260 198020002 297030003 322580971 383264520 396040004 495050005 594060006 645161942 792080008 967742913 990100010 1188120012 1290323884 1485150015 1612904855 1935485826 1980200020 2376240024 2580647768 2970300030 3225809710 3870971652 3960400040 4838714565 5940600060 6451619420 7741943304 9677429130 10000010101 11881200120 12903238840 19354858260 20000020202 30000030303 38709716520 40000040404 50000050505 60000060606 80000080808 100000101010 120000121212 150000151515 200000202020 240000242424 300000303030 400000404040 600000606060 1200001212120