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12133123120 = 245809187471
BaseRepresentation
bin10110100110011000…
…01100010000110000
31011022120121111221101
423103030030100300
5144322034414440
65323542534144
7606445562536
oct132314142060
934276544841
1012133123120
115166916a88
122427437354
1311b49049c1
14831592156
154b02b969a
hex2d330c430

12133123120 has 40 divisors (see below), whose sum is σ = 28244531520. Its totient is φ = 4847224320.

The previous prime is 12133123117. The next prime is 12133123133. The reversal of 12133123120 is 2132133121.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29016 + ... + 158455.

It is an arithmetic number, because the mean of its divisors is an integer number (706113288).

Almost surely, 212133123120 is an apocalyptic number.

12133123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133123120 is an abundant number, since it is smaller than the sum of its proper divisors (16111408400).

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

12133123120 is a wasteful number, since it uses less digits than its factorization.

12133123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188293 (or 188287 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12133123120 its reverse (2132133121), we get a palindrome (14265256241).

The spelling of 12133123120 in words is "twelve billion, one hundred thirty-three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 809 1618 3236 4045 6472 8090 12944 16180 32360 64720 187471 374942 749884 937355 1499768 1874710 2999536 3749420 7498840 14997680 151664039 303328078 606656156 758320195 1213312312 1516640390 2426624624 3033280780 6066561560 12133123120