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12212201202264 = 2333716274964261
BaseRepresentation
bin1011000110110101111111…
…1010100010001001011000
31121020110211022002002021000
42301231133322202021120
53100041042001433024
641550112514145000
72400205505325540
oct261553772421130
947213738062230
1012212201202264
113989190230938
121452981582160
136a77b475bb6b
143031062d4320
15162a0260acc9
hexb1b5fea2258

12212201202264 has 128 divisors (see below), whose sum is σ = 38792728972800. Its totient is φ = 3487055080320.

The previous prime is 12212201202263. The next prime is 12212201202283. The reversal of 12212201202264 is 46220210221221.

12212201202264 is a `hidden beast` number, since 1 + 2 + 212 + 201 + 20 + 226 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212201202263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22107 + ... + 4942154.

It is an arithmetic number, because the mean of its divisors is an integer number (303068195100).

Almost surely, 212212201202264 is an apocalyptic number.

12212201202264 is a gapful number since it is divisible by the number (14) 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 12212201202264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19396364486400).

12212201202264 is an abundant number, since it is smaller than the sum of its proper divisors (26580527770536).

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

12212201202264 is a wasteful number, since it uses less digits than its factorization.

12212201202264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965910 (or 4965900 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12212201202264 its reverse (46220210221221), we get a palindrome (58432411423485).

The spelling of 12212201202264 in words is "twelve trillion, two hundred twelve billion, two hundred one million, two hundred two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1627 3254 4881 6508 9762 11389 13016 14643 19524 22778 29286 34167 39048 43929 45556 58572 68334 87858 91112 102501 117144 136668 175716 205002 273336 307503 351432 410004 615006 820008 1230012 2460024 4964261 9928522 14892783 19857044 29785566 34749827 39714088 44678349 59571132 69499654 89356698 104249481 119142264 134035047 138999308 178713396 208498962 268070094 277998616 312748443 357426792 416997924 536140188 625496886 833995848 938245329 1072280376 1250993772 1876490658 2501987544 3752981316 7505962632 8076852647 16153705294 24230557941 32307410588 48461115882 56537968529 64614821176 72691673823 96922231764 113075937058 145383347646 169613905587 193844463528 218075021469 226151874116 290766695292 339227811174 436150042938 452303748232 508841716761 581533390584 678455622348 872300085876 1017683433522 1356911244696 1526525150283 1744600171752 2035366867044 3053050300566 4070733734088 6106100601132 12212201202264