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12002113123 = 7111347337757
BaseRepresentation
bin10110010110110000…
…11011011001100011
31010222110002112000021
423023120123121203
5144040020104443
65302542534311
7603265164310
oct131330333143
933873075007
1012002113123
1150a9975260
1223ab597397
1311937245b0
1481c00bd07
154a3a3b9ed
hex2cb61b663

12002113123 has 64 divisors (see below), whose sum is σ = 16528232448. Its totient is φ = 8413009920.

The previous prime is 12002113099. The next prime is 12002113127. The reversal of 12002113123 is 32131120021.

It is not a de Polignac number, because 12002113123 - 25 = 12002113091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002113097 and 12002113106.

It is not an unprimeable number, because it can be changed into a prime (12002113127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15854461 + ... + 15855217.

It is an arithmetic number, because the mean of its divisors is an integer number (258253632).

Almost surely, 212002113123 is an apocalyptic number.

12002113123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12002113123 is a deficient number, since it is larger than the sum of its proper divisors (4526119325).

12002113123 is a wasteful number, since it uses less digits than its factorization.

12002113123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12002113123 its reverse (32131120021), we get a palindrome (44133233144).

The spelling of 12002113123 in words is "twelve billion, two million, one hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 7 11 13 47 77 91 143 329 337 517 611 757 1001 2359 3619 3707 4277 4381 5299 6721 8327 9841 15839 25949 30667 35579 47047 48191 58289 68887 108251 110873 174229 205907 249053 255109 337337 391369 462527 757757 1219603 1441349 1785763 2264977 2739583 2806199 3237689 3316417 5087797 11990123 15854839 19643393 23214919 35614579 36480587 83930861 131891353 155871599 255364109 923239471 1091101193 1714587589 12002113123