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21120201202112 = 265361160963439
BaseRepresentation
bin1001100110101011011100…
…00101110001100111000000
32202210001221010122200001022
410303111232011301213000
510232013133001431422
6112530253025325012
74306612163105255
oct463255605614700
982701833580038
1021120201202112
116803032a81191
1224512a0796768
13ba281b35212c
1453031a62342c
152695b9098342
hex13356e1719c0

21120201202112 has 112 divisors (see below), whose sum is σ = 43428839126400. Its totient is φ = 10184509071360.

The previous prime is 21120201201989. The next prime is 21120201202171. The reversal of 21120201202112 is 21120210202112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332889689 + ... + 332953127.

It is an arithmetic number, because the mean of its divisors is an integer number (387757492200).

Almost surely, 221120201202112 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 21120201202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21714419563200).

21120201202112 is an abundant number, since it is smaller than the sum of its proper divisors (22308637924288).

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

21120201202112 is a wasteful number, since it uses less digits than its factorization.

21120201202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65174 (or 65164 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21120201202112 its reverse (21120210202112), we get a palindrome (42240411404224).

Subtracting 21120201202112 from its reverse (21120210202112), we obtain a square (9000000 = 30002).

The spelling of 21120201202112 in words is "twenty-one trillion, one hundred twenty billion, two hundred one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 61 64 106 122 212 244 424 488 848 976 1609 1696 1952 3218 3233 3392 3904 6436 6466 12872 12932 25744 25864 51488 51728 63439 85277 98149 102976 103456 126878 170554 196298 206912 253756 341108 392596 507512 682216 785192 1015024 1364432 1570384 2030048 2728864 3140768 3362267 3869779 4060096 5201897 5457728 6281536 6724534 7739558 10403794 13449068 15479116 20807588 26898136 30958232 41615176 53796272 61916464 83230352 102073351 107592544 123832928 166460704 204146702 205098287 215185088 247665856 332921408 408293404 410196574 816586808 820393148 1633173616 1640786296 3266347232 3281572592 5409887603 6226474411 6532694464 6563145184 10819775206 12452948822 13126290368 21639550412 24905897644 43279100824 49811795288 86558201648 99623590576 173116403296 199247181152 330003143783 346232806592 398494362304 660006287566 1320012575132 2640025150264 5280050300528 10560100601056 21120201202112