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12232123110 = 23251272234799
BaseRepresentation
bin10110110010001011…
…10110001011100110
31011120110220020101200
423121011312023212
5200022410414420
65341440503330
7612060221334
oct133105661346
934513806350
1012232123110
115207795159
12245461ab46
1311cc28828c
148407a2b54
154b8d22b90
hex2d91762e6

12232123110 has 96 divisors (see below), whose sum is σ = 32204390400. Its totient is φ = 3221031744.

The previous prime is 12232123109. The next prime is 12232123153. The reversal of 12232123110 is 1132123221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2546491 + ... + 2551289.

It is an arithmetic number, because the mean of its divisors is an integer number (335462400).

Almost surely, 212232123110 is an apocalyptic number.

12232123110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12232123110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16102195200).

12232123110 is an abundant number, since it is smaller than the sum of its proper divisors (19972267290).

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

12232123110 is a wasteful number, since it uses less digits than its factorization.

12232123110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12232123110 its reverse (1132123221), we get a palindrome (13364246331).

The spelling of 12232123110 in words is "twelve billion, two hundred thirty-two million, one hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 223 254 381 446 635 669 762 1115 1143 1270 1338 1905 2007 2230 2286 3345 3810 4014 4799 5715 6690 9598 10035 11430 14397 20070 23995 28321 28794 43191 47990 56642 71985 84963 86382 141605 143970 169926 215955 254889 283210 424815 431910 509778 609473 849630 1070177 1218946 1274445 1828419 2140354 2548890 3047365 3210531 3656838 5350885 5485257 6094730 6421062 9142095 9631593 10701770 10970514 16052655 18284190 19263186 27426285 32105310 48157965 54852570 96315930 135912479 271824958 407737437 679562395 815474874 1223212311 1359124790 2038687185 2446424622 4077374370 6116061555 12232123110