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12220100023120 = 24511277311916073
BaseRepresentation
bin1011000111010011011010…
…1110001001001101010000
31121021020012210002202110121
42301310312232021031100
53100203231101214440
641553500401240024
72400605320233013
oct261646656111520
947236183082417
1012220100023120
113991573981960
121454406933014
136a8473037862
1430365538137a
15162d15cbc34a
hexb1d36b89350

12220100023120 has 160 divisors (see below), whose sum is σ = 31118420436480. Its totient is φ = 4425935646720.

The previous prime is 12220100023099. The next prime is 12220100023121. The reversal of 12220100023120 is 2132000102221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12220100023094 and 12220100023103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220100023121) 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, 760279404 + ... + 760295476.

It is an arithmetic number, because the mean of its divisors is an integer number (194490127728).

Almost surely, 212220100023120 is an apocalyptic number.

12220100023120 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 12220100023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15559210218240).

12220100023120 is an abundant number, since it is smaller than the sum of its proper divisors (18898320413360).

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

12220100023120 is a wasteful number, since it uses less digits than its factorization.

12220100023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19493 (or 19487 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12220100023120 its reverse (2132000102221), we get a palindrome (14352100125341).

The spelling of 12220100023120 in words is "twelve trillion, two hundred twenty billion, one hundred million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 277 440 554 880 1108 1385 2216 2770 3047 3119 4432 5540 6094 6238 11080 12188 12476 15235 15595 16073 22160 24376 24952 30470 31190 32146 34309 48752 49904 60940 62380 64292 68618 80365 121880 124760 128584 137236 160730 171545 176803 243760 249520 257168 274472 321460 343090 353606 548944 642920 686180 707212 863963 884015 1285840 1372360 1414424 1727926 1768030 2744720 2828848 3455852 3536060 4319815 4452221 6911704 7072120 8639630 8904442 9503593 13823408 14144240 17279260 17808884 19007186 22261105 34558520 35617768 38014372 44522210 47517965 48974431 50131687 69117040 71235536 76028744 89044420 95035930 97948862 100263374 152057488 178088840 190071860 195897724 200526748 244872155 250658435 356177680 380143720 391795448 401053496 489744310 501316870 551448557 760287440 783590896 802106992 979488620 1002633740 1102897114 1958977240 2005267480 2205794228 2757242785 3917954480 4010534960 4411588456 5514485570 8823176912 11028971140 13886477299 22057942280 27772954598 44115884560 55545909196 69432386495 111091818392 138864772990 152751250289 222183636784 277729545980 305502500578 555459091960 611005001156 763756251445 1110918183920 1222010002312 1527512502890 2444020004624 3055025005780 6110050011560 12220100023120