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12233013022208 = 291143315433251
BaseRepresentation
bin1011001000000011100001…
…1001010100111000000000
31121022110112201012002010002
42302000320121110320000
53100411202313202313
642003434003455132
72401543316015456
oct262007031247000
947273481162102
1012233013022208
113996a9aa34230
121456a0b3874a8
136a9750397714
1430411c3409d6
1516331e786058
hexb2038654e00

12233013022208 has 160 divisors (see below), whose sum is σ = 26751272308992. Its totient is φ = 5542318080000.

The previous prime is 12233013022187. The next prime is 12233013022213. The reversal of 12233013022208 is 80222031033221.

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, 3762844583 + ... + 3762847833.

Almost surely, 212233013022208 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 12233013022208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13375636154496).

12233013022208 is an abundant number, since it is smaller than the sum of its proper divisors (14518259286784).

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

12233013022208 is a wasteful number, since it uses less digits than its factorization.

12233013022208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 12233013022208 its reverse (80222031033221), we get a palindrome (92455044055429).

The spelling of 12233013022208 in words is "twelve trillion, two hundred thirty-three billion, thirteen million, twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 433 512 704 866 1408 1543 1732 2816 3086 3251 3464 4763 5632 6172 6502 6928 9526 12344 13004 13856 16973 19052 24688 26008 27712 33946 35761 38104 49376 52016 55424 67892 71522 76208 98752 104032 110848 135784 143044 152416 197504 208064 221696 271568 286088 304832 395008 416128 543136 572176 609664 668119 790016 832256 1086272 1144352 1219328 1336238 1407683 1664512 2172544 2288704 2438656 2672476 2815366 4345088 4577408 5016293 5344952 5630732 7349309 8690176 9154816 10032586 10689904 11261464 14698618 15484513 18309632 20065172 21379808 22522928 29397236 30969026 40130344 42759616 45045856 55179223 58794472 61938052 80260688 85519232 90091712 110358446 117588944 123876104 160521376 171038464 180183424 220716892 235177888 247752208 321042752 342076928 360366848 441433784 470355776 495504416 642085504 720733696 882867568 940711552 991008832 1284171008 1765735136 1881423104 1982017664 2172054869 2568342016 3531470272 3762846208 3964035328 4344109738 7062940544 7928070656 8688219476 14125881088 17376438952 23892603559 28251762176 34752877904 47785207118 69505755808 95570414236 139011511616 191140828472 278023023232 382281656944 556046046464 764563313888 1112092092928 1529126627776 3058253255552 6116506511104 12233013022208