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220023221212120 = 235191573302955829
BaseRepresentation
bin110010000001110000100101…
…111100010101001111011000
31001212001000101120220100210111
4302001300211330111033120
5212314330024112241440
62055541134502454104
764226103350361334
oct6201604574251730
91055030346810714
10220023221212120
1164119362420787
1220815b83734334
1395a0140405101
143c49275cb47c4
151a6849787e4ea
hexc81c25f153d8

220023221212120 has 128 divisors (see below), whose sum is σ = 524452057560000. Its totient is φ = 82842163402752.

The previous prime is 220023221212061. The next prime is 220023221212133. The reversal of 220023221212120 is 21212122320022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220023221212091 and 220023221212100.

It is a congruent number.

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, 3940992366 + ... + 3941048194.

Almost surely, 2220023221212120 is an apocalyptic number.

220023221212120 is a gapful number since it is divisible by the number (20) 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 220023221212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262226028780000).

220023221212120 is an abundant number, since it is smaller than the sum of its proper divisors (304428836347880).

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

220023221212120 is a wasteful number, since it uses less digits than its factorization.

220023221212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89045 (or 89041 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 220023221212120 its reverse (21212122320022), we get a palindrome (241235343532142).

The spelling of 220023221212120 in words is "two hundred twenty trillion, twenty-three billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 157 190 314 380 628 760 785 1256 1570 2983 3140 5966 6280 11932 14915 23864 29830 33029 55829 59660 66058 111658 119320 132116 165145 223316 264232 279145 330290 446632 558290 627551 660580 1060751 1116580 1255102 1321160 2121502 2233160 2510204 3137755 4243004 5020408 5185553 5303755 6275510 8486008 8765153 10371106 10607510 12551020 17530306 20742212 21215020 25102040 25927765 35060612 41484424 42430040 43825765 51855530 70121224 87651530 98525507 103711060 166537907 175303060 197051014 207422120 333075814 350606120 394102028 492627535 666151628 788204056 832689535 985255070 1332303256 1665379070 1843976041 1970510140 3330758140 3687952082 3941020280 6661516280 7375904164 9219880205 14751808328 18439760410 35035544779 36879520820 70071089558 73759041640 140142179116 175177723895 280284358232 289504238437 350355447790 579008476874 700710895580 1158016953748 1401421791160 1447521192185 2316033907496 2895042384370 5500580530303 5790084768740 11001161060606 11580169537480 22002322121212 27502902651515 44004644242424 55005805303030 110011610606060 220023221212120