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12011313132012 = 223107127593124213
BaseRepresentation
bin1010111011001001101000…
…0011010111000111101100
31120112021022001201202101210
42232302122003113013230
53033243132130211022
641313530541434420
72346534352030455
oct256623203270754
946467261652353
1012011313132012
113910a73146387
12141ba5856ba10
1369187b46233c
142d74ca2c012c
1515c696214a0c
hexaec9a0d71ec

12011313132012 has 96 divisors (see below), whose sum is σ = 28559378276352. Its totient is φ = 3928453917696.

The previous prime is 12011313131977. The next prime is 12011313132029. The reversal of 12011313132012 is 21023131311021.

It is a self number, because there is not a number n which added to its sum of digits gives 12011313132012.

It is an unprimeable number.

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, 96637218 + ... + 96761430.

It is an arithmetic number, because the mean of its divisors is an integer number (297493523712).

Almost surely, 212011313132012 is an apocalyptic number.

12011313132012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12011313132012 is an abundant number, since it is smaller than the sum of its proper divisors (16548065144340).

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

12011313132012 is a wasteful number, since it uses less digits than its factorization.

12011313132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125047 (or 125045 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12011313132012 its reverse (21023131311021), we get a palindrome (33034444443033).

The spelling of 12011313132012 in words is "twelve trillion, eleven billion, three hundred thirteen million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 107 127 214 254 321 381 428 508 593 642 762 1186 1284 1524 1779 2372 3558 7116 13589 27178 40767 54356 63451 75311 81534 124213 126902 150622 163068 190353 225933 248426 253804 301244 372639 380706 451866 496852 745278 761412 903732 1490556 8058277 13290791 15775051 16116554 24174831 26581582 31550102 32233108 39872373 47325153 48349662 53163164 63100204 73658309 79744746 94650306 96699324 147316618 159489492 189300612 220974927 294633236 441949854 883899708 1687930457 3375860914 5063791371 6751721828 7881439063 9354605243 10127582742 15762878126 18709210486 20255165484 23644317189 28063815729 31525756252 37418420972 47288634378 56127631458 94577268756 112255262916 1000942761001 2001885522002 3002828283003 4003771044004 6005656566006 12011313132012