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12203222121312 = 253745917042083
BaseRepresentation
bin1011000110010100100010…
…1110000011101101100000
31121012121122112100111210020
42301211020232003231200
53044414144330340222
641542025521233440
72366440135362135
oct261451056035540
947177575314706
1012203222121312
1139853a2828482
121451096492880
136a69b3424401
143028d39a658c
151626791b265c
hexb1948b83b60

12203222121312 has 48 divisors (see below), whose sum is σ = 32037754553280. Its totient is φ = 4067195121792.

The previous prime is 12203222121217. The next prime is 12203222121313. The reversal of 12203222121312 is 21312122230221.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203222121313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7804978 + ... + 9237105.

It is an arithmetic number, because the mean of its divisors is an integer number (667453219860).

Almost surely, 212203222121312 is an apocalyptic number.

12203222121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12203222121312 is an abundant number, since it is smaller than the sum of its proper divisors (19834532431968).

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

12203222121312 is a wasteful number, since it uses less digits than its factorization.

12203222121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17049555 (or 17049547 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12203222121312 its reverse (21312122230221), we get a palindrome (33515344351533).

The spelling of 12203222121312 in words is "twelve trillion, two hundred three billion, two hundred twenty-two million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 7459 14918 22377 29836 44754 59672 89508 119344 179016 238688 358032 716064 17042083 34084166 51126249 68168332 102252498 136336664 204504996 272673328 409009992 545346656 818019984 1636039968 127116897097 254233794194 381350691291 508467588388 762701382582 1016935176776 1525402765164 2033870353552 3050805530328 4067740707104 6101611060656 12203222121312