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120021312412144 = 241113467953311783
BaseRepresentation
bin11011010010100010100011…
…101100010001100111110000
3120201221220222121211202012101
4123102202203230101213300
5111212412121434142034
61103133010231510144
734165153002535423
oct3322424354214760
9521856877752171
10120021312412144
11352738309a8970
1211564b26828354
1351c7c65997030
14218d0c37879ba
15dd206a714514
hex6d28a3b119f0

120021312412144 has 160 divisors (see below), whose sum is σ = 273832322609664. Its totient is φ = 50241222896640.

The previous prime is 120021312412051. The next prime is 120021312412201. The reversal of 120021312412144 is 441214213120021.

It is a congruent number.

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, 10185966477 + ... + 10185978259.

Almost surely, 2120021312412144 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 120021312412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136916161304832).

120021312412144 is an abundant number, since it is smaller than the sum of its proper divisors (153811010197520).

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

120021312412144 is a wasteful number, since it uses less digits than its factorization.

120021312412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21815 (or 21809 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 120021312412144 its reverse (441214213120021), we get a palindrome (561235525532165).

The spelling of 120021312412144 in words is "one hundred twenty trillion, twenty-one billion, three hundred twelve million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 467 572 934 1144 1868 2288 3736 5137 6071 7472 9533 10274 11783 12142 19066 20548 23566 24284 38132 41096 47132 48568 66781 76264 82192 94264 97136 104863 123929 129613 133562 152528 153179 188528 209726 247858 259226 267124 306358 419452 495716 518452 534248 612716 838904 991432 1036904 1068496 1225432 1363219 1677808 1684969 1982864 2073808 2450864 2726438 3369938 4451911 5452876 5502661 6739876 8903822 10905752 11005322 13479752 17807644 21811504 22010644 26959504 35615288 44021288 48971021 57874843 60529271 71230576 71534593 88042576 97942042 112327339 115749686 121058542 143069186 195884084 224654678 231499372 242117084 286138372 391768168 449309356 462998744 484234168 572276744 636623273 783536336 786880523 898618712 925997488 968468336 1144553488 1235600729 1273246546 1460255407 1573761046 1797237424 2471201458 2546493092 2920510814 3147522092 4942402916 5092986184 5841021628 6295044184 9884805832 10185972368 11682043256 12590088368 16062809477 19769611664 23364086512 32125618954 52456867313 64251237908 104913734626 128502475816 209827469252 257004951632 419654938504 577025540443 681939275069 839309877008 1154051080886 1363878550138 2308102161772 2727757100276 4616204323544 5455514200552 7501332025759 9232408647088 10911028401104 15002664051518 30005328103036 60010656206072 120021312412144