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12323000022112 = 2513367103378137
BaseRepresentation
bin1011001101010010110000…
…0010011111010001100000
31121122001211001121022110101
42303110230002133101200
53103400001001201422
642113035201312144
72411210266626043
oct263245402372140
947561731538411
1012323000022112
113a2117828613a
121470343935654
136b50915b7720
14308617616c5a
151658398e5c27
hexb352c09f460

12323000022112 has 96 divisors (see below), whose sum is σ = 26224017950592. Its totient is φ = 5666477727744.

The previous prime is 12323000022107. The next prime is 12323000022121. The reversal of 12323000022112 is 21122000032321.

It is a self number, because there is not a number n which added to its sum of digits gives 12323000022112.

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, 157671108 + ... + 157749244.

It is an arithmetic number, because the mean of its divisors is an integer number (273166853652).

Almost surely, 212323000022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323000022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13112008975296).

12323000022112 is an abundant number, since it is smaller than the sum of its proper divisors (13901017928480).

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

12323000022112 is a wasteful number, since it uses less digits than its factorization.

12323000022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79560 (or 79552 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12323000022112 its reverse (21122000032321), we get a palindrome (33445000054433).

The spelling of 12323000022112 in words is "twelve trillion, three hundred twenty-three billion, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 367 416 734 1033 1468 2066 2936 4132 4771 5872 8264 9542 11744 13429 16528 19084 26858 33056 38168 53716 76336 78137 107432 152672 156274 214864 312548 379111 429728 625096 758222 1015781 1250192 1516444 2031562 2500384 3032888 4063124 4928443 6065776 8126248 9856886 12131552 16252496 19713772 28676279 32504992 39427544 57352558 78855088 80715521 114705116 157710176 161431042 229410232 322862084 372791627 458820464 645724168 745583254 917640928 1049301773 1291448336 1491166508 2098603546 2582896672 2982333016 4197207092 5964666032 8394414184 11929332064 16788828368 29622596207 33577656736 59245192414 118490384828 236980769656 385093750691 473961539312 770187501382 947923078624 1540375002764 3080750005528 6161500011056 12323000022112