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132123212000312 = 23132338572886383
BaseRepresentation
bin11110000010101001010101…
…000111100010110000111000
3122022210212002210222021022212
4132002221111013202300320
5114304201314233002222
61145000322103434252
736554405235012401
oct3602512507426070
9568725083867285
10132123212000312
113910a159802545
121299a444455988
13589521c5b4600
14248ab247c49a8
151041c644ea6e2
hex782a551e2c38

132123212000312 has 48 divisors (see below), whose sum is σ = 268261135100640. Its totient is φ = 60978121771008.

The previous prime is 132123212000291. The next prime is 132123212000341. The reversal of 132123212000312 is 213000212321231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44331473 + ... + 47217855.

It is an arithmetic number, because the mean of its divisors is an integer number (5588773647930).

Almost surely, 2132123212000312 is an apocalyptic number.

It is an amenable number.

132123212000312 is an abundant number, since it is smaller than the sum of its proper divisors (136137923100328).

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

132123212000312 is a wasteful number, since it uses less digits than its factorization.

132123212000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920272 (or 2920255 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 132123212000312 its reverse (213000212321231), we get a palindrome (345123424321543).

The spelling of 132123212000312 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, two hundred twelve million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 33857 67714 135428 270856 440141 880282 1760564 2886383 3521128 5721833 5772766 11443666 11545532 22887332 23091064 37522979 45774664 75045958 150091916 300183832 487798727 975597454 1951194908 3902389816 97724269231 195448538462 390897076924 781794153848 1270415500003 2540831000006 5081662000012 10163324000024 16515401500039 33030803000078 66061606000156 132123212000312