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122441321312 = 25294717915683
BaseRepresentation
bin111001000001000010…
…0100100101101100000
3102201001010221120202022
41302002010210231200
54001224434240222
6132125422241012
711563132026152
oct1620204445540
9381033846668
10122441321312
1147a21a2aa42
121b891426168
13b713c100ab
145cd7680ad2
1532b9490042
hex1c82124b60

122441321312 has 96 divisors (see below), whose sum is σ = 256113446400. Its totient is φ = 57525088768.

The previous prime is 122441321281. The next prime is 122441321357. The reversal of 122441321312 is 213123144221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7799423 + ... + 7815105.

It is an arithmetic number, because the mean of its divisors is an integer number (2667848400).

Almost surely, 2122441321312 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 122441321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128056723200).

122441321312 is an abundant number, since it is smaller than the sum of its proper divisors (133672125088).

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

122441321312 is a wasteful number, since it uses less digits than its factorization.

122441321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15948 (or 15940 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 122441321312 its reverse (213123144221), we get a palindrome (335564465533).

The spelling of 122441321312 in words is "one hundred twenty-two billion, four hundred forty-one million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 47 58 94 116 179 188 232 358 376 464 716 752 928 1363 1432 1504 2726 2864 5191 5452 5728 8413 10382 10904 15683 16826 20764 21808 31366 33652 41528 43616 62732 67304 83056 125464 134608 166112 243977 250928 269216 454807 487954 501856 737101 909614 975908 1474202 1819228 1951816 2807257 2948404 3638456 3903632 5614514 5896808 7276912 7807264 11229028 11793616 14553824 21375929 22458056 23587232 42751858 44916112 81410453 85503716 89832224 131941079 162820906 171007432 263882158 325641812 342014864 527764316 651283624 684029728 1055528632 1302567248 2111057264 2605134496 3826291291 4222114528 7652582582 15305165164 30610330328 61220660656 122441321312