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12212103000123 = 3213197529832227
BaseRepresentation
bin1011000110110101101000…
…0011111011000000111011
31121020110120110021220020200
42301231122003323000323
53100040341332000443
641550055045253243
72400203203532115
oct261553203730073
947213513256220
1012212103000123
11398913a858144
121452954704223
136a779a2c77a0
143030d72503b5
151629e8baddd3
hexb1b5a0fb03b

12212103000123 has 24 divisors (see below), whose sum is σ = 19093034168208. Its totient is φ = 7476992373312.

The previous prime is 12212103000011. The next prime is 12212103000133. The reversal of 12212103000123 is 32100030121221.

12212103000123 is a `hidden beast` number, since 1 + 221 + 21 + 0 + 300 + 0 + 123 = 666.

It is not a de Polignac number, because 12212103000123 - 28 = 12212102999867 is a prime.

It is a super-2 number, since 2×122121030001232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12212103000096 and 12212103000105.

It is not an unprimeable number, because it can be changed into a prime (12212103000133) 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 23 ways as a sum of consecutive naturals, for example, 264893065 + ... + 264939162.

It is an arithmetic number, because the mean of its divisors is an integer number (795543090342).

Almost surely, 212212103000123 is an apocalyptic number.

12212103000123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12212103000123 is a deficient number, since it is larger than the sum of its proper divisors (6880931168085).

12212103000123 is a wasteful number, since it uses less digits than its factorization.

12212103000123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529832443 (or 529832440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12212103000123 its reverse (32100030121221), we get a palindrome (44312133121344).

The spelling of 12212103000123 in words is "twelve trillion, two hundred twelve billion, one hundred three million, one hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 197 591 1773 2561 7683 23049 529832227 1589496681 4768490043 6887818951 20663456853 61990370559 104376948719 313130846157 939392538471 1356900333347 4070701000041 12212103000123