Search a number
-
+
120022011000192 = 2737431038396413
BaseRepresentation
bin11011010010100011001101…
…010101001011010110000000
3120201221222210022100200211210
4123102203031111023112000
5111212420034304001232
61103133203425010120
734165206214456320
oct3322431525132600
9521858708320753
10120022011000192
113527405a273464
12115650a0783940
1351c8047630842
14218d14c475280
15dd20abc085cc
hex6d28cd54b580

120022011000192 has 128 divisors (see below), whose sum is σ = 372825848482560. Its totient is φ = 33494514665472.

The previous prime is 120022011000167. The next prime is 120022011000259. The reversal of 120022011000192 is 291000110220021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519082623 + ... + 519313790.

It is an arithmetic number, because the mean of its divisors is an integer number (2912701941270).

Almost surely, 2120022011000192 is an apocalyptic number.

120022011000192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120022011000192 is an abundant number, since it is smaller than the sum of its proper divisors (252803837482368).

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

120022011000192 is a wasteful number, since it uses less digits than its factorization.

120022011000192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038396480 (or 1038396468 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 120022011000192 in words is "one hundred twenty trillion, twenty-two billion, eleven million, one hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 258 301 336 344 384 448 516 602 672 688 896 903 1032 1204 1344 1376 1806 2064 2408 2688 2752 3612 4128 4816 5504 7224 8256 9632 14448 16512 19264 28896 38528 57792 115584 1038396413 2076792826 3115189239 4153585652 6230378478 7268774891 8307171304 12460756956 14537549782 16614342608 21806324673 24921513912 29075099564 33228685216 43612649346 44651045759 49843027824 58150199128 66457370432 87225298692 89302091518 99686055648 116300398256 132914740864 133953137277 174450597384 178604183036 199372111296 232600796512 267906274554 312557320313 348901194768 357208366072 398744222592 465201593024 535812549108 625114640626 697802389536 714416732144 930403186048 937671960939 1071625098216 1250229281252 1395604779072 1428833464288 1875343921878 2143250196432 2500458562504 2791209558144 2857666928576 3750687843756 4286500392864 5000917125008 5715333857152 7501375687512 8573000785728 10001834250016 15002751375024 17146001571456 20003668500032 30005502750048 40007337000064 60011005500096 120022011000192