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12123131104 = 257371499817
BaseRepresentation
bin10110100101001100…
…00100110011100000
31011021212210212110201
423102212010303200
5144312010143404
65322544434544
7606264625360
oct132246046340
934255725421
1012123131104
115161211917
122424018a54
1311b2816976
148301109a0
154ae493ca4
hex2d2984ce0

12123131104 has 96 divisors (see below), whose sum is σ = 28205150400. Its totient is φ = 5020766208.

The previous prime is 12123131017. The next prime is 12123131117. The reversal of 12123131104 is 40113132121.

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, 1230004 + ... + 1239820.

It is an arithmetic number, because the mean of its divisors is an integer number (293803650).

Almost surely, 212123131104 is an apocalyptic number.

12123131104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14102575200).

12123131104 is an abundant number, since it is smaller than the sum of its proper divisors (16082019296).

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

12123131104 is a wasteful number, since it uses less digits than its factorization.

12123131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12123131104 its reverse (40113132121), we get a palindrome (52236263225).

The spelling of 12123131104 in words is "twelve billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 149 224 259 296 298 518 592 596 1036 1043 1184 1192 2072 2086 2384 4144 4172 4768 5513 8288 8344 9817 11026 16688 19634 22052 33376 38591 39268 44104 68719 77182 78536 88208 137438 154364 157072 176416 274876 308728 314144 363229 549752 617456 726458 1099504 1234912 1452916 1462733 2199008 2542603 2905832 2925466 5085206 5811664 5850932 10170412 10239131 11623328 11701864 20340824 20478262 23403728 40681648 40956524 46807456 54121121 81363296 81913048 108242242 163826096 216484484 327652192 378847847 432968968 757695694 865937936 1515391388 1731875872 3030782776 6061565552 12123131104