Search a number
-
+
1120122102120 = 233578531563281
BaseRepresentation
bin10000010011001100011…
…110101110000101101000
310222002020020100110121020
4100103030132232011220
5121323002224231440
62214324344012440
7143632445526210
oct20231436560550
93862206313536
101120122102120
113a204a7a815a
12161106761120
138181c864888
143c2dda95240
151e20c2da3d0
hex104cc7ae168

1120122102120 has 128 divisors (see below), whose sum is σ = 3844923344640. Its totient is φ = 255727595520.

The previous prime is 1120122102101. The next prime is 1120122102179. The reversal of 1120122102120 is 212012210211.

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 1120122102120.

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, 65121 + ... + 1498160.

It is an arithmetic number, because the mean of its divisors is an integer number (30038463630).

Almost surely, 21120122102120 is an apocalyptic number.

1120122102120 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 1120122102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922461672320).

1120122102120 is an abundant number, since it is smaller than the sum of its proper divisors (2724801242520).

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

1120122102120 is a wasteful number, since it uses less digits than its factorization.

1120122102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564155 (or 1564151 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1120122102120 its reverse (212012210211), we get a palindrome (1332134312331).

The spelling of 1120122102120 in words is "one trillion, one hundred twenty billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 853 1706 2559 3412 4265 5118 5971 6824 8530 10236 11942 12795 17060 17913 20472 23884 25590 29855 34120 35826 47768 51180 59710 71652 89565 102360 119420 143304 179130 238840 358260 716520 1563281 3126562 4689843 6253124 7816405 9379686 10942967 12506248 15632810 18759372 21885934 23449215 31265620 32828901 37518744 43771868 46898430 54714835 62531240 65657802 87543736 93796860 109429670 131315604 164144505 187593720 218859340 262631208 328289010 437718680 656578020 1313156040 1333478693 2666957386 4000436079 5333914772 6667393465 8000872158 9334350851 10667829544 13334786930 16001744316 18668701702 20002180395 26669573860 28003052553 32003488632 37337403404 40004360790 46671754255 53339147720 56006105106 74674806808 80008721580 93343508510 112012210212 140015262765 160017443160 186687017020 224024420424 280030525530 373374034040 560061051060 1120122102120