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21121201122112 = 267133679881689
BaseRepresentation
bin1001100110101101010011…
…01100001010101101000000
32202210011111211011212102101
410303112221230022231000
510232022204441401422
6112530540145200144
74306646024224030
oct463265154125500
982704454155371
1021121201122112
1168034a644a953
12245151b630054
13ba294a561a80
145303b334d8c0
15269626c60c27
hex1335a9b0ab40

21121201122112 has 112 divisors (see below), whose sum is σ = 51725034350080. Its totient is φ = 8332871749632.

The previous prime is 21121201122097. The next prime is 21121201122247. The reversal of 21121201122112 is 21122110212112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×211212011221122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21121201122112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2803437 + ... + 7078252.

It is an arithmetic number, because the mean of its divisors is an integer number (461830663840).

Almost surely, 221121201122112 is an apocalyptic number.

It is an amenable number.

21121201122112 is an abundant number, since it is smaller than the sum of its proper divisors (30603833227968).

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

21121201122112 is a wasteful number, since it uses less digits than its factorization.

21121201122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9882088 (or 9882078 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 21121201122112 its reverse (21122110212112), we get a palindrome (42243311334224).

The spelling of 21121201122112 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 367 416 448 728 734 832 1456 1468 2569 2912 2936 4771 5138 5824 5872 9542 10276 11744 19084 20552 23488 33397 38168 41104 66794 76336 82208 133588 152672 164416 267176 305344 534352 1068704 2137408 9881689 19763378 39526756 69171823 79053512 128461957 138343646 158107024 256923914 276687292 316214048 513847828 553374584 632428096 899233699 1027695656 1106749168 1798467398 2055391312 2213498336 3596934796 3626579863 4110782624 4426996672 7193869592 7253159726 8221565248 14387739184 14506319452 25386059041 28775478368 29012638904 47145538219 50772118082 57550956736 58025277808 94291076438 101544236164 116050555616 188582152876 203088472328 232101111232 330018767533 377164305752 406176944656 660037535066 754328611504 812353889312 1320075070132 1508657223008 1624707778624 2640150140264 3017314446016 5280300280528 10560600561056 21121201122112