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123201341312 = 27743111289
BaseRepresentation
bin111001010111101011…
…1110100011110000000
3102210000010001121012012
41302233113310132000
54004304020410222
6132333052152052
711621021060000
oct1625727643600
9383003047165
10123201341312
1148281a44245
121ba63a68628
13b80550557a
145d6a5a0000
15331106b1e2
hex1caf5f4780

123201341312 has 160 divisors (see below), whose sum is σ = 287473352400. Its totient is φ = 52589967360.

The previous prime is 123201341287. The next prime is 123201341399. The reversal of 123201341312 is 213143102321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95578364 + ... + 95579652.

Almost surely, 2123201341312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123201341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143736676200).

123201341312 is an abundant number, since it is smaller than the sum of its proper divisors (164272011088).

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

123201341312 is an frugal number, since it uses more digits than its factorization.

123201341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 123201341312 its reverse (213143102321), we get a palindrome (336344443633).

The spelling of 123201341312 in words is "one hundred twenty-three billion, two hundred one million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 311 343 392 448 622 686 784 896 1244 1289 1372 1568 2177 2401 2488 2578 2744 3136 4354 4802 4976 5156 5488 6272 8708 9023 9604 9952 10312 10976 15239 17416 18046 19208 19904 20624 21952 30478 34832 36092 38416 39808 41248 43904 60956 63161 69664 72184 76832 82496 106673 121912 126322 139328 144368 153664 164992 213346 243824 252644 278656 288736 307328 400879 426692 442127 487648 505288 577472 746711 801758 853384 884254 975296 1010576 1154944 1493422 1603516 1706768 1768508 1950592 2021152 2806153 2986844 3094889 3207032 3413536 3537016 4042304 5612306 5973688 6189778 6414064 6827072 7074032 8084608 11224612 11947376 12379556 12828128 13654144 14148064 19643071 22449224 23894752 24759112 25656256 28296128 39286142 44898448 47789504 49518224 51312512 56592256 78572284 89796896 95579008 99036448 137501497 157144568 179593792 198072896 275002994 314289136 359187584 396145792 550005988 628578272 962510479 1100011976 1257156544 1925020958 2200023952 2514313088 3850041916 4400047904 7700083832 8800095808 15400167664 17600191616 30800335328 61600670656 123201341312