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13122222132012 = 22372322729920883
BaseRepresentation
bin1011111011110100000101…
…1000111000101100101100
31201110110202020000010211120
42332331001120320230230
53204443302331211022
643524133213020540
72523022616521650
oct276750130705454
951413666003746
1013122222132012
1141aa115330554
12157b211784750
13742560352aa6
1433519452aa60
1517b51477bd5c
hexbef41638b2c

13122222132012 has 96 divisors (see below), whose sum is σ = 36674865303552. Its totient is φ = 3570399007296.

The previous prime is 13122222131987. The next prime is 13122222132067. The reversal of 13122222132012 is 21023122222131.

It is an unprimeable number.

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, 14521878 + ... + 15399005.

It is an arithmetic number, because the mean of its divisors is an integer number (382029846912).

Almost surely, 213122222132012 is an apocalyptic number.

13122222132012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13122222132012 is an abundant number, since it is smaller than the sum of its proper divisors (23552643171540).

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

13122222132012 is a wasteful number, since it uses less digits than its factorization.

13122222132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29921147 (or 29921145 counting only the distinct ones).

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

Adding to 13122222132012 its reverse (21023122222131), we get a palindrome (34145344354143).

The spelling of 13122222132012 in words is "thirteen trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 227 276 322 454 483 644 681 908 966 1362 1589 1932 2724 3178 4767 5221 6356 9534 10442 15663 19068 20884 31326 36547 62652 73094 109641 146188 219282 438564 29920883 59841766 89762649 119683532 179525298 209446181 359050596 418892362 628338543 688180309 837784724 1256677086 1376360618 2064540927 2513354172 2752721236 4129081854 4817262163 6792040441 8258163708 9634524326 13584080882 14451786489 19269048652 20376121323 27168161764 28903572978 40752242646 47544283087 57807145956 81504485292 95088566174 142632849261 156216930143 190177132348 285265698522 312433860286 468650790429 570531397044 624867720572 937301580858 1093518511001 1874603161716 2187037022002 3280555533003 4374074044004 6561111066006 13122222132012