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122032113112 = 23721347949993
BaseRepresentation
bin111000110100110101…
…1100100010111011000
3102122222121221122122001
41301221223210113120
53444410210104422
6132021043410344
711550032563300
oct1615153442730
9378877848561
10122032113112
1147831a45848
121b7983839b4
13b67a1c6470
145c991a0600
1532935ad227
hex1c69ae45d8

122032113112 has 96 divisors (see below), whose sum is σ = 287245526400. Its totient is φ = 48174690816.

The previous prime is 122032113083. The next prime is 122032113113. The reversal of 122032113112 is 211311230221.

It is a self number, because there is not a number n which added to its sum of digits gives 122032113112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122032113113) 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 23 ways as a sum of consecutive naturals, for example, 2415988 + ... + 2465980.

It is an arithmetic number, because the mean of its divisors is an integer number (2992140900).

Almost surely, 2122032113112 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 122032113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143622763200).

122032113112 is an abundant number, since it is smaller than the sum of its proper divisors (165213413288).

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

122032113112 is a wasteful number, since it uses less digits than its factorization.

122032113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50505 (or 50494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122032113112 its reverse (211311230221), we get a palindrome (333343343333).

The spelling of 122032113112 in words is "one hundred twenty-two billion, thirty-two million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 479 637 728 958 1274 1916 2548 3353 3832 5096 6227 6706 12454 13412 23471 24908 26824 43589 46942 49816 49993 87178 93884 99986 174356 187768 199972 305123 348712 349951 399944 610246 649909 699902 1220492 1299818 1399804 2440984 2449657 2599636 2799608 4549363 4899314 5199272 9098726 9798628 18197452 19597256 23946647 31845541 36394904 47893294 63691082 95786588 127382164 167626529 191573176 254764328 311306411 335253058 622612822 670506116 1173385703 1245225644 1341012232 2179144877 2346771406 2490451288 4358289754 4693542812 8716579508 9387085624 15254014139 17433159016 30508028278 61016056556 122032113112