Search a number
-
+
1200120110020 = 2251325185321559
BaseRepresentation
bin10001011101101100101…
…110111001101111000100
311020201201102201022221201
4101131230232321233010
5124130321222010040
62315154430552244
7152464044423016
oct21355456715704
94221642638851
101200120110020
11422a71573577
12174711968684
138922b44ca20
144212c4721b6
1521340513a9a
hex1176cbb9bc4

1200120110020 has 96 divisors (see below), whose sum is σ = 2728252074240. Its totient is φ = 440817984000.

The previous prime is 1200120110017. The next prime is 1200120110039. The reversal of 1200120110020 is 200110210021.

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 = 1200120109979 and 1200120110006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55656001 + ... + 55677559.

It is an arithmetic number, because the mean of its divisors is an integer number (28419292440).

Almost surely, 21200120110020 is an apocalyptic number.

1200120110020 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 1200120110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364126037120).

1200120110020 is an abundant number, since it is smaller than the sum of its proper divisors (1528131964220).

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

1200120110020 is a wasteful number, since it uses less digits than its factorization.

1200120110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22685 (or 22683 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1200120110020 its reverse (200110210021), we get a palindrome (1400230320041).

The spelling of 1200120110020 in words is "one trillion, two hundred billion, one hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 251 260 502 853 1004 1255 1706 2510 3263 3412 4265 5020 6526 8530 11089 13052 16315 17060 21559 22178 32630 43118 44356 55445 65260 86236 107795 110890 214103 215590 221780 280267 428206 431180 560534 856412 1070515 1121068 1401335 2141030 2783339 2802670 4282060 5411309 5566678 5605340 10822618 11133356 13916695 18389827 21645236 27056545 27833390 36779654 54113090 55666780 70347017 73559308 91949135 108226180 140694034 183898270 239067751 281388068 351735085 367796540 478135502 703470170 956271004 1195338755 1406940340 2390677510 4615846577 4781355020 9231693154 18463386308 23079232885 46158465770 60006005501 92316931540 120012011002 240024022004 300030027505 600060055010 1200120110020