Search a number
-
+
123112012240 = 24576728111677
BaseRepresentation
bin111001010101000001…
…1000011100111010000
3102202202212222012202001
41302222003003213100
54004113133342430
6132320141403344
711615554560250
oct1625203034720
9382685865661
10123112012240
1148236580a68
121ba39b69554
13b7bcb59b29
145d5c789960
1533082c33ca
hex1caa0c39d0

123112012240 has 160 divisors (see below), whose sum is σ = 333218744064. Its totient is φ = 41428316160.

The previous prime is 123112012211. The next prime is 123112012273. The reversal of 123112012240 is 42210211321.

It is a congruent number.

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, 10537282 + ... + 10548958.

Almost surely, 2123112012240 is an apocalyptic number.

123112012240 is a gapful number since it is divisible by the number (10) 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 123112012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166609372032).

123112012240 is an abundant number, since it is smaller than the sum of its proper divisors (210106731824).

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

123112012240 is a wasteful number, since it uses less digits than its factorization.

123112012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12045 (or 12039 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 123112012240 its reverse (42210211321), we get a palindrome (165322223561).

The spelling of 123112012240 in words is "one hundred twenty-three billion, one hundred twelve million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 281 335 469 536 560 562 670 938 1072 1124 1340 1405 1876 1967 2248 2345 2680 2810 3752 3934 4496 4690 5360 5620 7504 7868 9380 9835 11240 11677 15736 18760 18827 19670 22480 23354 31472 37520 37654 39340 46708 58385 75308 78680 81739 93416 94135 116770 131789 150616 157360 163478 186832 188270 233540 263578 301232 326956 376540 408695 467080 527156 653912 658945 753080 782359 817390 934160 1054312 1307824 1317890 1506160 1564718 1634780 2108624 2635780 3129436 3269560 3281237 3911795 5271560 5476513 6258872 6539120 6562474 7823590 10543120 10953026 12517744 13124948 15647180 16406185 21906052 22968659 26249896 27382565 31294360 32812370 43812104 45937318 52499792 54765130 62588720 65624740 87624208 91874636 109530260 114843295 131249480 183749272 219060520 219842879 229686590 262498960 367498544 438121040 439685758 459373180 879371516 918746360 1099214395 1538900153 1758743032 1837492720 2198428790 3077800306 3517486064 4396857580 6155600612 7694500765 8793715160 12311201224 15389001530 17587430320 24622402448 30778003060 61556006120 123112012240