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21222212121220 = 22511218793466637
BaseRepresentation
bin1001101001101001011100…
…11010100011001010000100
32210010211020110012021201111
410310310232122203022010
510240201042300334340
6113045203305334404
74320153125443555
oct464645632431204
983124213167644
1021222212121220
116842320531600
12246900ba97404
13bac32765cc26
1453523678232c
1526c089b00aea
hex134d2e6a3284

21222212121220 has 72 divisors (see below), whose sum is σ = 48989189679192. Its totient is φ = 7716740866560.

The previous prime is 21222212121197. The next prime is 21222212121223. The reversal of 21222212121220 is 2212121222212.

It can be written as a sum of positive squares in 4 ways, for example, as 1886211079236 + 19336001041984 = 1373394^2 + 4397272^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21222212121191 and 21222212121200.

It is not an unprimeable number, because it can be changed into a prime (21222212121223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45245742 + ... + 45712378.

It is an arithmetic number, because the mean of its divisors is an integer number (680405412211).

Almost surely, 221222212121220 is an apocalyptic number.

21222212121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222212121220 is an abundant number, since it is smaller than the sum of its proper divisors (27766977557972).

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

21222212121220 is a wasteful number, since it uses less digits than its factorization.

21222212121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485461 (or 485448 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 21222212121220 its reverse (2212121222212), we get a palindrome (23434333343432).

The spelling of 21222212121220 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 18793 37586 75172 93965 187930 206723 375860 413446 466637 826892 933274 1033615 1866548 2067230 2273953 2333185 4134460 4547906 4666370 5133007 9095812 9332740 10266014 11369765 20532028 22739530 25665035 45479060 51330070 56463077 102660140 112926154 225852308 282315385 564630770 1129261540 8769509141 17539018282 35078036564 43847545705 87695091410 96464600551 175390182820 192929201102 385858402204 482323002755 964646005510 1061110606061 1929292011020 2122221212122 4244442424244 5305553030305 10611106060610 21222212121220