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11122111222220 = 22523412712176087
BaseRepresentation
bin1010000111011001000101…
…1111010001000111001100
31110101021010001110111020102
42201312101133101013030
52424211040433102340
635353232150510232
72225355166352465
oct241662137210714
943337101414212
1011122111222220
1135a8951917589
1212b7658665378
13628a6cb2822b
142a6455049d6c
151444a1b92215
hexa1d917d11cc

11122111222220 has 96 divisors (see below), whose sum is σ = 25058506346496. Its totient is φ = 4136304268800.

The previous prime is 11122111222193. The next prime is 11122111222231. The reversal of 11122111222220 is 2222211122111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11122111222192 and 11122111222201.

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, 4023017 + ... + 6199103.

It is an arithmetic number, because the mean of its divisors is an integer number (261026107776).

Almost surely, 211122111222220 is an apocalyptic number.

11122111222220 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 11122111222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12529253173248).

11122111222220 is an abundant number, since it is smaller than the sum of its proper divisors (13936395124276).

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

11122111222220 is a wasteful number, since it uses less digits than its factorization.

11122111222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176431 (or 2176429 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11122111222220 its reverse (2222211122111), we get a palindrome (13344322344331).

The spelling of 11122111222220 in words is "eleven trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 271 410 460 542 820 943 1084 1355 1886 2710 3772 4715 5420 6233 9430 11111 12466 18860 22222 24932 31165 44444 55555 62330 111110 124660 222220 255553 511106 1022212 1277765 2176087 2555530 4352174 5111060 8704348 10880435 21760870 43521740 50050001 89219567 100100002 178439134 200200004 250250005 356878268 446097835 500500010 589719577 892195670 1001000020 1179439154 1784391340 2052050041 2358878308 2948597885 4104100082 5897195770 8208200164 10260250205 11794391540 13563550271 20520500410 24178502657 27127100542 41041000820 48357005314 54254201084 67817751355 96714010628 120892513285 135635502710 241785026570 271271005420 483570053140 556105561111 1112211122222 2224422244444 2780527805555 5561055611110 11122111222220