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21111211212120 = 23335107231822943
BaseRepresentation
bin1001100110011010101100…
…01111101011110101011000
32202202012201121101212012000
410303031112033223311120
510231341230032241440
6112522205002521000
74306143331335021
oct463152617536530
982665647355160
1021111211212120
1167aa23a3a7697
12244b5b1b06160
13ba1a17998123
1452db06695c48
1526923ebe7730
hex1333563ebd58

21111211212120 has 128 divisors (see below), whose sum is σ = 70377305241600. Its totient is φ = 5629128227712.

The previous prime is 21111211212071. The next prime is 21111211212139. The reversal of 21111211212120 is 2121211211112.

It is a happy number.

21111211212120 is a `hidden beast` number, since 211 + 1 + 121 + 1 + 212 + 120 = 666.

21111211212120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21111211212093 and 21111211212102.

It is a congruent number.

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, 10669369 + ... + 12492311.

It is an arithmetic number, because the mean of its divisors is an integer number (549822697200).

Almost surely, 221111211212120 is an apocalyptic number.

21111211212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111211212120 is an abundant number, since it is smaller than the sum of its proper divisors (49266094029480).

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

21111211212120 is a wasteful number, since it uses less digits than its factorization.

21111211212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833686 (or 1833676 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21111211212120 its reverse (2121211211112), we get a palindrome (23232422423232).

The spelling of 21111211212120 in words is "twenty-one trillion, one hundred eleven billion, two hundred eleven million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 10723 21446 32169 42892 53615 64338 85784 96507 107230 128676 160845 193014 214460 257352 289521 321690 386028 428920 482535 579042 643380 772056 965070 1158084 1286760 1447605 1822943 1930140 2316168 2895210 3645886 3860280 5468829 5790420 7291772 9114715 10937658 11580840 14583544 16406487 18229430 21875316 27344145 32812974 36458860 43750632 49219461 54688290 65625948 72917720 82032435 98438922 109376580 131251896 164064870 196877844 218753160 246097305 328129740 393755688 492194610 656259480 984389220 1968778440 19547417789 39094835578 58642253367 78189671156 97737088945 117284506734 156379342312 175926760101 195474177890 234569013468 293211266835 351853520202 390948355780 469138026936 527780280303 586422533670 703707040404 781896711560 879633800505 1055560560606 1172845067340 1407414080808 1759267601010 2111121121212 2345690134680 2638901401515 3518535202020 4222242242424 5277802803030 7037070404040 10555605606060 21111211212120