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122030112032 = 2537532936637
BaseRepresentation
bin111000110100110001…
…1111011110100100000
3102122222111011222122222
41301221203323310200
53444404202041112
6132020532450212
711550006560243
oct1615143736440
9378874158588
10122030112032
11478308a9364
121b797779968
13b6799756aa
145c98bdd25a
153293315372
hex1c698fbd20

122030112032 has 96 divisors (see below), whose sum is σ = 252291421872. Its totient is φ = 58038349824.

The previous prime is 122030111999. The next prime is 122030112047. The reversal of 122030112032 is 230211030221.

It can be written as a sum of positive squares in 8 ways, for example, as 94006012816 + 28024099216 = 306604^2 + 167404^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122030112032.

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, 18383018 + ... + 18389654.

Almost surely, 2122030112032 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 122030112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126145710936).

122030112032 is an abundant number, since it is smaller than the sum of its proper divisors (130261309840).

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

122030112032 is a wasteful number, since it uses less digits than its factorization.

122030112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122030112032 its reverse (230211030221), we get a palindrome (352241142253).

The spelling of 122030112032 in words is "one hundred twenty-two billion, thirty million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 293 296 424 586 592 848 1172 1184 1696 1961 2344 3922 4688 6637 7844 9376 10841 13274 15529 15688 21682 26548 31058 31376 43364 53096 62116 62752 86728 106192 124232 173456 212384 245569 248464 346912 351761 491138 496928 574573 703522 982276 1149146 1407044 1944641 1964552 2298292 2814088 3889282 3929104 4596584 5628176 7778564 7858208 9193168 11256352 13015157 15557128 18386336 26030314 31114256 52060628 62228512 71951717 103065973 104121256 143903434 206131946 208242512 287806868 412263892 416485024 575613736 824527784 1151227472 1649055568 2302454944 3298111136 3813441001 7626882002 15253764004 30507528008 61015056016 122030112032