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12220102220120 = 23517317101955633
BaseRepresentation
bin1011000111010011011011…
…0110100001100101011000
31121021020012221020101011222
42301310312312201211120
53100203232132020440
641553500520311212
72400605345013164
oct261646666414530
947236187211158
1012220102220120
113991575142563
121454407612508
136a8473626862
14303655793ca4
15162d160a32b5
hexb1d36da1958

12220102220120 has 128 divisors (see below), whose sum is σ = 29233619668800. Its totient is φ = 4581413584896.

The previous prime is 12220102220119. The next prime is 12220102220129. The reversal of 12220102220120 is 2102220102221.

It is a happy number.

12220102220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220102220129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219627824 + ... + 219683456.

Almost surely, 212220102220120 is an apocalyptic number.

12220102220120 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 12220102220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14616809834400).

12220102220120 is an abundant number, since it is smaller than the sum of its proper divisors (17013517448680).

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

12220102220120 is a wasteful number, since it uses less digits than its factorization.

12220102220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56997 (or 56993 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12220102220120 its reverse (2102220102221), we get a palindrome (14322322322341).

The spelling of 12220102220120 in words is "twelve trillion, two hundred twenty billion, one hundred two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 317 340 634 680 1019 1268 1585 2038 2536 3170 4076 5095 5389 6340 8152 10190 10778 12680 17323 20380 21556 26945 34646 40760 43112 53890 55633 69292 86615 107780 111266 138584 173230 215560 222532 278165 323023 346460 445064 556330 646046 692920 945761 1112660 1292092 1615115 1891522 2225320 2584184 3230230 3783044 4728805 5491391 6460460 7566088 9457610 10982782 12920920 17635661 18915220 21965564 27456955 35271322 37830440 43931128 54913910 56690027 70542644 88178305 109827820 113380054 141085288 176356610 219655640 226760108 283450135 299806237 352713220 453520216 566900270 599612474 705426440 963730459 1133800540 1199224948 1499031185 1927460918 2267601080 2398449896 2998062370 3854921836 4818652295 5996124740 7709843672 9637304590 11992249480 17970738559 19274609180 35941477118 38549218360 71882954236 89853692795 143765908472 179707385590 305502555503 359414771180 611005111006 718829542360 1222010222012 1527512777515 2444020444024 3055025555030 6110051110060 12220102220120