Search a number
-
+
1123220212120 = 235831076075209
BaseRepresentation
bin10000010110000101001…
…001000100100110011000
310222101020010222202120001
4100112011021010212120
5121400323333241440
62220000015142344
7144102305162656
oct20260511044630
93871203882501
101123220212120
113a339a589046
121618302149b4
1381bc467a566
143c515319dd6
151e33e2adb9a
hex10585244998

1123220212120 has 128 divisors (see below), whose sum is σ = 2586347366400. Its totient is φ = 438917907456.

The previous prime is 1123220212097. The next prime is 1123220212129. The reversal of 1123220212120 is 212120223211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123220212129) 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, 215628076 + ... + 215633284.

It is an arithmetic number, because the mean of its divisors is an integer number (20205838800).

Almost surely, 21123220212120 is an apocalyptic number.

1123220212120 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 1123220212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293173683200).

1123220212120 is an abundant number, since it is smaller than the sum of its proper divisors (1463127154280).

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

1123220212120 is a wasteful number, since it uses less digits than its factorization.

1123220212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6017 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1123220212120 its reverse (212120223211), we get a palindrome (1335340435331).

The spelling of 1123220212120 in words is "one trillion, one hundred twenty-three billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 107 166 214 332 415 428 535 607 664 830 856 1070 1214 1660 2140 2428 3035 3320 4280 4856 5209 6070 8881 10418 12140 17762 20836 24280 26045 35524 41672 44405 50381 52090 64949 71048 88810 100762 104180 129898 177620 201524 208360 251905 259796 324745 355240 403048 432347 503810 519592 557363 649490 864694 1007620 1114726 1298980 1729388 2015240 2161735 2229452 2597960 2786815 3161863 3458776 4323470 4458904 5390767 5573630 6323726 8646940 10781534 11147260 12647452 15809315 17293880 21563068 22294520 25294904 26953835 31618630 43126136 46261129 53907670 63237260 92522258 107815340 126474520 185044516 215630680 231305645 262434629 338319341 370089032 462611290 524869258 676638682 925222580 1049738516 1312173145 1353277364 1691596705 1850445160 2099477032 2624346290 2706554728 3383193410 5248692580 6766386820 10497385160 13532773640 28080505303 56161010606 112322021212 140402526515 224644042424 280805053030 561610106060 1123220212120