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122213320101232 = 24192671372305133
BaseRepresentation
bin11011110010011100000001…
…100010000000110101110000
3121000201110221102000211012121
4123302130001202000311300
5112004320334421214412
61111532005120004024
734512423000503503
oct3362340142006560
9530643842024177
10122213320101232
1135a39418114418
1211859915760614
13532688879a1c9
142227228a9313a
15e1e0b0189107
hex6f2701880d70

122213320101232 has 120 divisors (see below), whose sum is σ = 255488199132816. Its totient is φ = 56610206180352.

The previous prime is 122213320101227. The next prime is 122213320101281. The reversal of 122213320101232 is 232101023312221.

It is a super-2 number, since 2×1222133201012322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122213320101197 and 122213320101206.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 51865338 + ... + 54170470.

Almost surely, 2122213320101232 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 122213320101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127744099566408).

122213320101232 is an abundant number, since it is smaller than the sum of its proper divisors (133274879031584).

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

122213320101232 is a wasteful number, since it uses less digits than its factorization.

122213320101232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305383 (or 2305358 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 122213320101232 its reverse (232101023312221), we get a palindrome (354314343413453).

The spelling of 122213320101232 in words is "one hundred twenty-two trillion, two hundred thirteen billion, three hundred twenty million, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 67 76 134 137 152 268 274 304 361 536 548 722 1072 1096 1273 1444 2192 2546 2603 2888 5092 5206 5776 9179 10184 10412 18358 20368 20824 24187 36716 41648 48374 49457 73432 96748 98914 146864 174401 193496 197828 348802 386992 395656 697604 791312 1395208 2305133 2790416 3313619 4610266 6627238 9220532 13254476 18441064 26508952 36882128 43797527 53017904 87595054 154443911 175190108 308887822 315803221 350380216 617775644 631606442 700760432 832153013 1235551288 1263212884 1664306026 2471102576 2526425768 2934434309 3328612052 5052851536 5868868618 6000261199 6657224104 11737737236 12000522398 13314448208 21158815807 23475474472 24001044796 42317631614 46950948944 48002089592 55754251871 84635263228 96004179184 111508503742 114004962781 169270526456 223017007484 228009925562 338541052912 402017500333 446034014968 456019851124 804035000666 892068029936 912039702248 1608070001332 1824079404496 3216140002664 6432280005328 7638332506327 15276665012654 30553330025308 61106660050616 122213320101232