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123012205205412 = 223732331471409709
BaseRepresentation
bin11011111110000100000010…
…110010110101011110100100
3121010112212000002021222122110
4123332010002302311132210
5112110412444013033122
61113343005452201020
734624224056032425
oct3376040262653644
9533485002258573
10123012205205412
1136217201a0a406
121196870a769170
13538400277bac3
142253b72d1d64c
15e34c6a65190c
hex6fe102cb57a4

123012205205412 has 96 divisors (see below), whose sum is σ = 292408493045760. Its totient is φ = 40241323100160.

The previous prime is 123012205205387. The next prime is 123012205205431. The reversal of 123012205205412 is 214502502210321.

123012205205412 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1230122052054122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123012205205412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300038014 + ... + 300447722.

It is an arithmetic number, because the mean of its divisors is an integer number (3045921802560).

Almost surely, 2123012205205412 is an apocalyptic number.

123012205205412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123012205205412 is an abundant number, since it is smaller than the sum of its proper divisors (169396287840348).

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

123012205205412 is a wasteful number, since it uses less digits than its factorization.

123012205205412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411493 (or 411491 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 123012205205412 its reverse (214502502210321), we get a palindrome (337514707415733).

The spelling of 123012205205412 in words is "one hundred twenty-three trillion, twelve billion, two hundred five million, two hundred five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 73 146 219 233 292 438 466 699 876 932 1398 1471 2796 2942 4413 5884 8826 17009 17652 34018 51027 68036 102054 107383 204108 214766 322149 342743 409709 429532 644298 685486 819418 1028229 1229127 1288596 1370972 1638836 2056458 2458254 4112916 4916508 25020239 29908757 50040478 59817514 75060717 89726271 95462197 100080956 119635028 150121434 179452542 190924394 286386591 300242868 358905084 381848788 572773182 602681939 1145546364 1205363878 1808045817 2410727756 3616091634 6968740381 7232183268 13937480762 20906221143 27874961524 41812442286 43995781547 83624884572 87991563094 131987344641 140424891787 175983126188 263974689282 280849783574 421274675361 527949378564 561699567148 842549350722 1685098701444 10251017100451 20502034200902 30753051301353 41004068401804 61506102602706 123012205205412