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12120120222112 = 257214895191181
BaseRepresentation
bin1011000001011110111101…
…1101011110000110100000
31120220200011000110122000201
42300113233131132012200
53042034001234101422
641435523435154544
72360435610032500
oct260275735360640
946820130418021
1012120120222112
113953128992641
121438b638a5a54
1369bbcb77aca6
142dc88cc9ba00
15160413722727
hexb05ef75e1a0

12120120222112 has 72 divisors (see below), whose sum is σ = 27775886497380. Its totient is φ = 5190847764480.

The previous prime is 12120120222107. The next prime is 12120120222127. The reversal of 12120120222112 is 21122202102121.

It can be written as a sum of positive squares in 2 ways, for example, as 9784859461776 + 2335260760336 = 3128076^2 + 1528156^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12120120222112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260839 + ... + 4930342.

Almost surely, 212120120222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120120222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13887943248690).

12120120222112 is an abundant number, since it is smaller than the sum of its proper divisors (15655766275268).

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

12120120222112 is a wasteful number, since it uses less digits than its factorization.

12120120222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192694 (or 5192679 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12120120222112 its reverse (21122202102121), we get a palindrome (33242322324233).

The spelling of 12120120222112 in words is "twelve trillion, one hundred twenty billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1489 1568 2978 5956 10423 11912 20846 23824 41692 47648 72961 83384 145922 166768 291844 333536 583688 1167376 2334752 5191181 10382362 20764724 36338267 41529448 72676534 83058896 145353068 166117792 254367869 290706136 508735738 581412272 1017471476 1162824544 2034942952 4069885904 7729668509 8139771808 15459337018 30918674036 54107679563 61837348072 108215359126 123674696144 216430718252 247349392288 378753756941 432861436504 757507513882 865722873008 1515015027764 1731445746016 3030030055528 6060060111056 12120120222112