Search a number
-
+
1212032201120 = 255131921614149
BaseRepresentation
bin10001101000110010101…
…111111011000110100000
311021212110121102020221222
4101220302233323012200
5124324220220413440
62324444440234212
7153365200503416
oct21506257730640
94255417366858
101212032201120
11428024641964
12176a9716b968
138a3a9315340
144293c5292b6
15217db1bc2b5
hex11a32bfb1a0

1212032201120 has 144 divisors (see below), whose sum is σ = 3254533165800. Its totient is φ = 423965657088.

The previous prime is 1212032201113. The next prime is 1212032201201. The reversal of 1212032201120 is 211022302121.

It can be written as a sum of positive squares in 4 ways, for example, as 1062210564496 + 149821636624 = 1030636^2 + 387068^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56195 + ... + 1557954.

Almost surely, 21212032201120 is an apocalyptic number.

1212032201120 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 1212032201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627266582900).

1212032201120 is an abundant number, since it is smaller than the sum of its proper divisors (2042500964680).

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

1212032201120 is a wasteful number, since it uses less digits than its factorization.

1212032201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614215 (or 1614188 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1212032201120 its reverse (211022302121), we get a palindrome (1423054503241).

The spelling of 1212032201120 in words is "one trillion, two hundred twelve billion, thirty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 65 76 80 95 104 130 152 160 190 208 247 260 304 361 380 416 494 520 608 722 760 988 1040 1235 1444 1520 1805 1976 2080 2470 2888 3040 3610 3952 4693 4940 5776 7220 7904 9386 9880 11552 14440 18772 19760 23465 28880 37544 39520 46930 57760 75088 93860 150176 187720 375440 750880 1614149 3228298 6456596 8070745 12913192 16141490 20983937 25826384 30668831 32282980 41967874 51652768 61337662 64565960 83935748 104919685 122675324 129131920 153344155 167871496 209839370 245350648 258263840 306688310 335742992 398694803 419678740 490701296 582707789 613376620 671485984 797389606 839357480 981402592 1165415578 1226753240 1594779212 1678714960 1993474015 2330831156 2453506480 2913538945 3189558424 3357429920 3986948030 4661662312 4907012960 5827077890 6379116848 7575201257 7973896060 9323324624 11654155780 12758233696 15150402514 15947792120 18646649248 23308311560 30300805028 31895584240 37876006285 46616623120 60601610056 63791168480 75752012570 93233246240 121203220112 151504025140 242406440224 303008050280 606016100560 1212032201120