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12211201012120 = 2351159470385247
BaseRepresentation
bin1011000110110010010001…
…0011000111000110011000
31121020101020121001011022121
42301230210103013012120
53100032014424341440
641545425344431024
72400141642003355
oct261544423070630
947211217034277
1012211201012120
113988817698210
121452742618474
136a7685486286
1430304d53762c
151629948dd34a
hexb1b244c7198

12211201012120 has 64 divisors (see below), whose sum is σ = 30480964070400. Its totient is φ = 4365175082880.

The previous prime is 12211201012091. The next prime is 12211201012273. The reversal of 12211201012120 is 2121010211221.

It is a super-2 number, since 2×122112010121202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211201012094 and 12211201012103.

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 15 ways as a sum of consecutive naturals, for example, 235166664 + ... + 235218583.

It is an arithmetic number, because the mean of its divisors is an integer number (476265063600).

Almost surely, 212211201012120 is an apocalyptic number.

12211201012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211201012120 is an abundant number, since it is smaller than the sum of its proper divisors (18269763058280).

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

12211201012120 is a wasteful number, since it uses less digits than its factorization.

12211201012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470385328 (or 470385324 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12211201012120 its reverse (2121010211221), we get a palindrome (14332211223341).

The spelling of 12211201012120 in words is "twelve trillion, two hundred eleven billion, two hundred one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 2360 2596 3245 5192 6490 12980 25960 470385247 940770494 1881540988 2351926235 3763081976 4703852470 5174237717 9407704940 10348475434 18815409880 20696950868 25871188585 27752729573 41393901736 51742377170 55505459146 103484754340 111010918292 138763647865 206969508680 222021836584 277527295730 305280025303 555054591460 610560050606 1110109182920 1221120101212 1526400126515 2442240202424 3052800253030 6105600506060 12211201012120