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21120222001122 = 233171910111988941
BaseRepresentation
bin1001100110101011011110…
…10101000111011111100010
32202210001222120210100221000
410303111233111013133202
510232013203313013442
6112530255051212430
74306612534642626
oct463255725073742
982701876710830
1021120222001122
116803043797852
1224512a7747116
13ba282275513a
1453031d2b9186
152695bad05d4c
hex13356f5477e2

21120222001122 has 128 divisors (see below), whose sum is σ = 52828074028800. Its totient is φ = 6215066496000.

The previous prime is 21120222001097. The next prime is 21120222001181. The reversal of 21120222001122 is 22110022202112.

It is a happy number.

21120222001122 is a `hidden beast` number, since 211 + 202 + 220 + 0 + 11 + 22 = 666.

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 = 21120222001095 and 21120222001104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4232829 + ... + 7756112.

It is an arithmetic number, because the mean of its divisors is an integer number (412719328350).

Almost surely, 221120222001122 is an apocalyptic number.

21120222001122 is an abundant number, since it is smaller than the sum of its proper divisors (31707852027678).

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

21120222001122 is a wasteful number, since it uses less digits than its factorization.

21120222001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11989089 (or 11989083 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21120222001122 its reverse (22110022202112), we get a palindrome (43230244203234).

The spelling of 21120222001122 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty-two million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 101 102 114 153 171 202 303 306 323 342 459 513 606 646 909 918 969 1026 1717 1818 1919 1938 2727 2907 3434 3838 5151 5454 5757 5814 8721 10302 11514 15453 17271 17442 30906 32623 34542 46359 51813 65246 92718 97869 103626 195738 293607 587214 880821 1761642 11988941 23977882 35966823 71933646 107900469 203811997 215800938 227789879 323701407 407623994 455579758 611435991 647402814 683369637 1210883041 1222871982 1366739274 1834307973 2050108911 2421766082 3632649123 3668615946 3872427943 4100217822 5502923919 6150326733 7265298246 7744855886 10897947369 11005847838 11617283829 12300653466 20585011697 21795894738 23006777779 23234567658 32693842107 34851851487 41170023394 46013555558 61755035091 65387684214 69020333337 69703702974 104555554461 123510070182 138040666674 185265105273 207061000011 209111108922 370530210546 391115222243 414122000022 555795315819 621183000033 782230444486 1111590631638 1173345666729 1242366000066 2346691333458 3520037000187 7040074000374 10560111000561 21120222001122