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1223012222120 = 2351323139735673
BaseRepresentation
bin10001110011000001001…
…101011000010010101000
311022220210211021010011102
4101303001031120102220
5130014212112101440
62333502152220532
7154234245235433
oct21630115302250
94286724233142
101223012222120
11431749574187
1217904039a748
138b439065ca0
14432a08b881a
1521c30111b15
hex11cc13584a8

1223012222120 has 128 divisors (see below), whose sum is σ = 3114549446400. Its totient is φ = 428832036864.

The previous prime is 1223012222093. The next prime is 1223012222209. The reversal of 1223012222120 is 212222103221.

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 = 1223012222092 and 1223012222101.

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, 1294604 + ... + 2030276.

It is an arithmetic number, because the mean of its divisors is an integer number (24332417550).

Almost surely, 21223012222120 is an apocalyptic number.

1223012222120 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 1223012222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557274723200).

1223012222120 is an abundant number, since it is smaller than the sum of its proper divisors (1891537224280).

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

1223012222120 is a wasteful number, since it uses less digits than its factorization.

1223012222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735859 (or 735855 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1223012222120 its reverse (212222103221), we get a palindrome (1435234325341).

The spelling of 1223012222120 in words is "one trillion, two hundred twenty-three billion, twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 139 184 230 260 278 299 460 520 556 598 695 920 1112 1196 1390 1495 1807 2392 2780 2990 3197 3614 5560 5980 6394 7228 9035 11960 12788 14456 15985 18070 25576 31970 36140 41561 63940 72280 83122 127880 166244 207805 332488 415610 735673 831220 1471346 1662440 2942692 3678365 5885384 7356730 9563749 14713460 16920479 19127498 29426920 33840958 38254996 47818745 67681916 76509992 84602395 95637490 102258547 135363832 169204790 191274980 204517094 219966227 338409580 382549960 409034188 439932454 511292735 676819160 818068376 879864908 1022585470 1099831135 1329361111 1759729816 2045170940 2199662270 2351946581 2658722222 4090341880 4399324540 4703893162 5317444444 6646805555 8798649080 9407786324 10634888888 11759732905 13293611110 18815572648 23519465810 26587222220 30575305553 47038931620 53174444440 61150611106 94077863240 122301222212 152876527765 244602444424 305753055530 611506111060 1223012222120