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122022201110232 = 233172631217934399
BaseRepresentation
bin11011101111101010000001…
…111100111010111011011000
3121000001012121222221010202110
4123233222001330322323120
5111443202431441011412
61111304120400432320
734462545616051143
oct3357520174727330
9530035558833673
10122022201110232
1135975363461785
12118288783186a0
13531184b398757
14221bc9829105a
15e19126739d3c
hex6efa81f3aed8

122022201110232 has 128 divisors (see below), whose sum is σ = 324494843904000. Its totient is φ = 38104541134848.

The previous prime is 122022201110189. The next prime is 122022201110233. The reversal of 122022201110232 is 232011102220221.

122022201110232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122022201110199 and 122022201110208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022201110233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130121769 + ... + 131056167.

It is an arithmetic number, because the mean of its divisors is an integer number (2535115968000).

Almost surely, 2122022201110232 is an apocalyptic number.

122022201110232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122022201110232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162247421952000).

122022201110232 is an abundant number, since it is smaller than the sum of its proper divisors (202472642793768).

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

122022201110232 is a wasteful number, since it uses less digits than its factorization.

122022201110232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935905 (or 935901 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122022201110232 its reverse (232011102220221), we get a palindrome (354033303330453).

The spelling of 122022201110232 in words is "one hundred twenty-two trillion, twenty-two billion, two hundred one million, one hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 263 408 526 789 1052 1217 1578 2104 2434 3156 3651 4471 4868 6312 7302 8942 9736 13413 14604 17884 20689 26826 29208 35768 41378 53652 62067 82756 107304 124134 165512 248268 320071 496536 640142 934399 960213 1280284 1868798 1920426 2560568 2803197 3737596 3840852 5441207 5606394 7475192 7681704 10882414 11212788 15884783 16323621 21764828 22425576 31769566 32647242 43529656 47654349 63539132 65294484 95308698 127078264 130588968 190617396 245746937 381234792 491493874 737240811 982987748 1137163583 1474481622 1965975496 2274327166 2948963244 3411490749 4177697929 4548654332 5897926488 6822981498 8355395858 9097308664 12533093787 13645962996 16710791716 19331780911 25066187574 27291925992 33421583432 38663561822 50132375148 57995342733 77327123644 100264750296 115990685466 154654247288 231981370932 299074022329 463962741864 598148044658 897222066987 1196296089316 1794444133974 2392592178632 3588888267948 5084258379593 7177776535896 10168516759186 15252775138779 20337033518372 30505550277558 40674067036744 61011100555116 122022201110232