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3212140231120 = 24517310776379
BaseRepresentation
bin101110101111100010011…
…110100011100111010000
3102101002002120112121020011
4232233202132203213100
5410111430344343440
610455345320524304
7451032554316652
oct56574236434720
912332076477204
103212140231120
111029296469237
1243a64b320694
131a3b99072192
14b167b49a6d2
155884d8d89ea
hex2ebe27a39d0

3212140231120 has 160 divisors (see below), whose sum is σ = 8009157916800. Its totient is φ = 1197958989824.

The previous prime is 3212140231099. The next prime is 3212140231121. The reversal of 3212140231120 is 211320412123.

It is a junction number, because it is equal to n+sod(n) for n = 3212140231091 and 3212140231100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212140231121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42017091 + ... + 42093469.

It is an arithmetic number, because the mean of its divisors is an integer number (50057236980).

Almost surely, 23212140231120 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 3212140231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004578958400).

3212140231120 is an abundant number, since it is smaller than the sum of its proper divisors (4797017685680).

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

3212140231120 is a wasteful number, since it uses less digits than its factorization.

3212140231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76550 (or 76510 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 3212140231120 its reverse (211320412123), we get a palindrome (3423460643243).

The spelling of 3212140231120 in words is "three trillion, two hundred twelve billion, one hundred forty million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 107 136 170 214 272 289 340 428 535 578 680 856 1070 1156 1360 1445 1712 1819 2140 2312 2890 3638 4280 4624 4913 5780 7276 8560 9095 9826 11560 14552 18190 19652 23120 24565 29104 30923 36380 39304 49130 61846 72760 76379 78608 98260 123692 145520 152758 154615 196520 247384 305516 309230 381895 393040 494768 525691 611032 618460 763790 1051382 1222064 1236920 1298443 1527580 2102764 2473840 2596886 2628455 3055160 4205528 5193772 5256910 6110320 6492215 8172553 8411056 10387544 10513820 12984430 16345106 20775088 21027640 22073531 25968860 32690212 40862765 42055280 44147062 51937720 65380424 81725530 88294124 103875440 110367655 130760848 138933401 163451060 176588248 220735310 277866802 326902120 353176496 375250027 441470620 555733604 653804240 694667005 750500054 882941240 1111467208 1389334010 1501000108 1765882480 1876250135 2222934416 2361867817 2778668020 3002000216 3752500270 4723735634 5557336040 6004000432 7505000540 9447471268 11114672080 11809339085 15010001080 18894942536 23618678170 30020002160 37789885072 40151752889 47237356340 80303505778 94474712680 160607011556 188949425360 200758764445 321214023112 401517528890 642428046224 803035057780 1606070115560 3212140231120