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12213323121120 = 2535112210284489
BaseRepresentation
bin1011000110111010001011…
…0010010100000111100000
31121020120201111011110121020
42301232202302110013200
53100100341204333440
641550420112525440
72400245350432152
oct261564262240740
947216644143536
1012213323121120
113989706557100
121453035250880
136a7933015484
143031b12daad2
15162a6ad713d0
hexb1ba2c941e0

12213323121120 has 144 divisors (see below), whose sum is σ = 42287369801040. Its totient is φ = 2960805591040.

The previous prime is 12213323121023. The next prime is 12213323121133. The reversal of 12213323121120 is 2112132331221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105084165 + ... + 105200324.

It is an arithmetic number, because the mean of its divisors is an integer number (293662290285).

Almost surely, 212213323121120 is an apocalyptic number.

12213323121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213323121120 is an abundant number, since it is smaller than the sum of its proper divisors (30074046679920).

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

12213323121120 is a wasteful number, since it uses less digits than its factorization.

12213323121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210284529 (or 210284510 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12213323121120 its reverse (2112132331221), we get a palindrome (14325455452341).

The spelling of 12213323121120 in words is "twelve trillion, two hundred thirteen billion, three hundred twenty-three million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 210284489 420568978 630853467 841137956 1051422445 1261706934 1682275912 2102844890 2313129379 2523413868 3154267335 3364551824 4205689780 4626258758 5046827736 6308534670 6729103648 6939388137 8411379560 9252517516 10093655472 11565646895 12617069340 13878776274 16822759120 18505035032 20187310944 23131293790 25234138680 25444423169 27757552548 33645518240 34696940685 37010070064 46262587580 50468277360 50888846338 55515105096 69393881370 74020140128 76333269507 92525175160 100936554720 101777692676 111030210192 127222115845 138787762740 152666539014 185050350320 203555385352 222060420384 254444231690 277575525480 305333078028 370100700640 381666347535 407110770704 508888463380 555151050960 610666156056 763332695070 814221541408 1017776926760 1110302101920 1221332312112 1526665390140 2035553853520 2442664624224 3053330780280 4071107707040 6106661560560 12213323121120