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12122022220120 = 2351922633191921
BaseRepresentation
bin1011000001100110000011…
…0101000001000101011000
31120220212001120102010210101
42300121200311001011120
53042101400142020440
641440440301425144
72360534003533261
oct260314065010530
946825046363711
1012122022220120
113953a1458291a
1214393b486b1b4
1369c1428310b7
142dc9cd725968
151604c56c769a
hexb0660d41158

12122022220120 has 96 divisors (see below), whose sum is σ = 28895065420320. Its totient is φ = 4576140794880.

The previous prime is 12122022220111. The next prime is 12122022220171. The reversal of 12122022220120 is 2102222022121.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2201760 + ... + 5393680.

It is an arithmetic number, because the mean of its divisors is an integer number (300990264795).

Almost surely, 212122022220120 is an apocalyptic number.

12122022220120 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 12122022220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447532710160).

12122022220120 is an abundant number, since it is smaller than the sum of its proper divisors (16773043200200).

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

12122022220120 is a wasteful number, since it uses less digits than its factorization.

12122022220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192233 (or 3192210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12122022220120 its reverse (2102222022121), we get a palindrome (14224244242241).

The spelling of 12122022220120 in words is "twelve trillion, one hundred twenty-two billion, twenty-two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 263 361 380 526 722 760 1052 1315 1444 1805 2104 2630 2888 3610 4997 5260 7220 9994 10520 14440 19988 24985 39976 49970 94943 99940 189886 199880 379772 474715 759544 949430 1898860 3191921 3797720 6383842 12767684 15959605 25535368 31919210 60646499 63838420 121292998 127676840 242585996 303232495 485171992 606464990 839475223 1152283481 1212929980 1678950446 2304566962 2425859960 3357900892 4197376115 4609133924 5761417405 6715801784 8394752230 9218267848 11522834810 15950029237 16789504460 23045669620 31900058474 33579008920 46091339240 63800116948 79750146185 127600233896 159500292370 303050555503 319000584740 606101111006 638001169480 1212202222012 1515252777515 2424404444024 3030505555030 6061011110060 12122022220120