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12212122120 = 2351143719091
BaseRepresentation
bin10110101111110011…
…00011001000001000
31011112002021002012021
423113321203020020
5200002300401440
65335444054224
7611425216402
oct132771431010
934462232167
1012212122120
1151a7474110
122449994374
1311c80a4583
1483bc77b72
154b71c184a
hex2d7e63208

12212122120 has 128 divisors (see below), whose sum is σ = 31107732480. Its totient is φ = 4275936000.

The previous prime is 12212122037. The next prime is 12212122127. The reversal of 12212122120 is 2122121221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12212122094 and 12212122103.

It is not an unprimeable number, because it can be changed into a prime (12212122127) 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, 1338775 + ... + 1347865.

It is an arithmetic number, because the mean of its divisors is an integer number (243029160).

Almost surely, 212212122120 is an apocalyptic number.

12212122120 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 12212122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15553866240).

12212122120 is an abundant number, since it is smaller than the sum of its proper divisors (18895610360).

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

12212122120 is a wasteful number, since it uses less digits than its factorization.

12212122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9227 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12212122120 its reverse (2122121221), we get a palindrome (14334243341).

The spelling of 12212122120 in words is "twelve billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 71 86 88 110 142 172 215 220 284 344 355 430 440 473 568 710 781 860 946 1420 1562 1720 1892 2365 2840 3053 3124 3784 3905 4730 6106 6248 7810 9091 9460 12212 15265 15620 18182 18920 24424 30530 31240 33583 36364 45455 61060 67166 72728 90910 100001 122120 134332 167915 181820 200002 268664 335830 363640 390913 400004 500005 645461 671660 781826 800008 1000010 1290922 1343320 1563652 1954565 2000020 2581844 3127304 3227305 3909130 4000040 4300043 5163688 6454610 7100071 7818260 8600086 12909220 14200142 15636520 17200172 21500215 25818440 27754823 28400284 34400344 35500355 43000430 55509646 56800568 71000710 86000860 111019292 138774115 142001420 172001720 222038584 277548230 284002840 305303053 555096460 610606106 1110192920 1221212212 1526515265 2442424424 3053030530 6106061060 12212122120