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12222221201120 = 255755731958137
BaseRepresentation
bin1011000111011011010100…
…1001110010111011100000
31121021102200121110202122202
42301312311021302323200
53100222102111413440
641554451053352332
72401012015033310
oct261666511627340
947242617422582
1012222221201120
113992462265327
1214548b91986a8
136a872062c078
143037b6d81440
15162ddc119615
hexb1db5272ee0

12222221201120 has 96 divisors (see below), whose sum is σ = 33005935505088. Its totient is φ = 4189721776128.

The previous prime is 12222221201111. The next prime is 12222221201129. The reversal of 12222221201120 is 2110212222221.

It is an interprime number because it is at equal distance from previous prime (12222221201111) and next prime (12222221201129).

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 = 12222221201092 and 12222221201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222221201129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5262692 + ... + 7220828.

It is an arithmetic number, because the mean of its divisors is an integer number (343811828178).

Almost surely, 212222221201120 is an apocalyptic number.

12222221201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222221201120 is an abundant number, since it is smaller than the sum of its proper divisors (20783714303968).

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

12222221201120 is a wasteful number, since it uses less digits than its factorization.

12222221201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963732 (or 1963724 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12222221201120 its reverse (2110212222221), we get a palindrome (14332433423341).

The spelling of 12222221201120 in words is "twelve trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 5573 11146 22292 27865 39011 44584 55730 78022 89168 111460 156044 178336 195055 222920 312088 390110 445840 624176 780220 891680 1248352 1560440 1958137 3120880 3916274 6241760 7832548 9790685 13706959 15665096 19581370 27413918 31330192 39162740 54827836 62660384 68534795 78325480 109655672 137069590 156650960 219311344 274139180 313301920 438622688 548278360 1096556720 2193113440 10912697501 21825395002 43650790004 54563487505 76388882507 87301580008 109126975010 152777765014 174603160016 218253950020 305555530028 349206320032 381944412535 436507900040 611111060056 763888825070 873015800080 1222222120112 1527777650140 1746031600160 2444444240224 3055555300280 6111110600560 12222221201120