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12210131322120 = 2335241977432143
BaseRepresentation
bin1011000110101110010010…
…0010100100010100001000
31121020021111001020021111110
42301223210202210110020
53100022322104301440
641545131253330320
72400103302536544
oct261534442442410
947207431207443
1012210131322120
1139883188a5296
1214524a43369a0
136a7544988704
14302d8b448a24
15162930a43080
hexb1ae48a4508

12210131322120 has 128 divisors (see below), whose sum is σ = 36820120803840. Its totient is φ = 3239198146560.

The previous prime is 12210131322061. The next prime is 12210131322121. The reversal of 12210131322120 is 2122313101221.

It is not an unprimeable number, because it can be changed into a prime (12210131322121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28038769 + ... + 28470911.

It is an arithmetic number, because the mean of its divisors is an integer number (287657193780).

Almost surely, 212210131322120 is an apocalyptic number.

12210131322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210131322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18410060401920).

12210131322120 is an abundant number, since it is smaller than the sum of its proper divisors (24609989481720).

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

12210131322120 is a wasteful number, since it uses less digits than its factorization.

12210131322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433375 (or 433371 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12210131322120 its reverse (2122313101221), we get a palindrome (14332444423341).

The spelling of 12210131322120 in words is "twelve trillion, two hundred ten billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 977 1205 1446 1928 1954 2410 2892 2931 3615 3908 4820 4885 5784 5862 7230 7816 9640 9770 11724 14460 14655 19540 23448 28920 29310 39080 58620 117240 235457 432143 470914 706371 864286 941828 1177285 1296429 1412742 1728572 1883656 2160715 2354570 2592858 2825484 3457144 3531855 4321430 4709140 5185716 5650968 6482145 7063710 8642860 9418280 10371432 12964290 14127420 17285720 25928580 28254840 51857160 104146463 208292926 312439389 416585852 422203711 520732315 624878778 833171704 844407422 1041464630 1249757556 1266611133 1562196945 1688814844 2082929260 2111018555 2499515112 2533222266 3124393890 3377629688 4165858520 4222037110 5066444532 6248787780 6333055665 8444074220 10132889064 12497575560 12666111330 16888148440 25332222660 50664445320 101751094351 203502188702 305253283053 407004377404 508755471755 610506566106 814008754808 1017510943510 1221013132212 1526266415265 2035021887020 2442026264424 3052532830530 4070043774040 6105065661060 12210131322120