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12121223220 = 22325107761827
BaseRepresentation
bin10110100100111101…
…10011000000110100
31011021202012221100100
423102132303000310
5144311013120340
65322435514100
7606242461131
oct132236630064
934252187310
1012121223220
115160129457
122423458930
1311b22c9442
1482db75588
154ae218830
hex2d27b3034

12121223220 has 144 divisors (see below), whose sum is σ = 37205034048. Its totient is φ = 3194042880.

The previous prime is 12121223209. The next prime is 12121223263. The reversal of 12121223220 is 2232212121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12121223193 and 12121223202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14656447 + ... + 14657273.

It is an arithmetic number, because the mean of its divisors is an integer number (258368292).

Almost surely, 212121223220 is an apocalyptic number.

12121223220 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 12121223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18602517024).

12121223220 is an abundant number, since it is smaller than the sum of its proper divisors (25083810828).

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

12121223220 is a wasteful number, since it uses less digits than its factorization.

12121223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12121223220 its reverse (2232212121), we get a palindrome (14353435341).

The spelling of 12121223220 in words is "twelve billion, one hundred twenty-one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 761 827 963 1070 1284 1522 1605 1654 1926 2140 2283 2481 3044 3210 3308 3805 3852 4135 4566 4815 4962 6420 6849 7443 7610 8270 9132 9630 9924 11415 12405 13698 14886 15220 16540 19260 22830 24810 27396 29772 34245 37215 45660 49620 68490 74430 81427 88489 136980 148860 162854 176978 244281 265467 325708 353956 407135 442445 488562 530934 629347 732843 796401 814270 884890 977124 1061868 1221405 1258694 1327335 1465686 1592802 1628540 1769780 1888041 2442810 2517388 2654670 2931372 3146735 3185604 3664215 3776082 3982005 4885620 5309340 5664123 6293470 7328430 7552164 7964010 9440205 11328246 12586940 14656860 15928020 18880410 22656492 28320615 37760820 56641230 67340129 113282460 134680258 202020387 269360516 336700645 404040774 606061161 673401290 808081548 1010101935 1212122322 1346802580 2020203870 2424244644 3030305805 4040407740 6060611610 12121223220