Search a number
-
+
123012320012120 = 23571153753567263
BaseRepresentation
bin11011111110000100001001…
…101000110010011101011000
3121010112212022002022202211202
4123332010021220302131120
5112110413212410341440
61113343025113013332
734624226651624030
oct3376041150623530
9533485262282752
10123012320012120
11362172607a4390
12119687410b4248
1353840204a7c76
142253b842868c0
15e34c7577d615
hex6fe109a32758

123012320012120 has 128 divisors (see below), whose sum is σ = 351584342691840. Its totient is φ = 37618077719040.

The previous prime is 123012320012093. The next prime is 123012320012159. The reversal of 123012320012120 is 21210023210321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123012320012092 and 123012320012101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376620392 + ... + 376946871.

It is an arithmetic number, because the mean of its divisors is an integer number (2746752677280).

Almost surely, 2123012320012120 is an apocalyptic number.

123012320012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123012320012120 is an abundant number, since it is smaller than the sum of its proper divisors (228572022679720).

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

123012320012120 is a wasteful number, since it uses less digits than its factorization.

123012320012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753567345 (or 753567341 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 123012320012120 its reverse (21210023210321), we get a palindrome (144222343222441).

The spelling of 123012320012120 in words is "one hundred twenty-three trillion, twelve billion, three hundred twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 53 55 56 70 77 88 106 110 140 154 212 220 265 280 308 371 385 424 440 530 583 616 742 770 1060 1166 1484 1540 1855 2120 2332 2915 2968 3080 3710 4081 4664 5830 7420 8162 11660 14840 16324 20405 23320 32648 40810 81620 163240 753567263 1507134526 3014269052 3767836315 5274970841 6028538104 7535672630 8289239893 10549941682 15071345260 16578479786 21099883364 26374854205 30142690520 33156959572 39939064939 41446199465 42199766728 52749708410 58024679251 66313919144 79878129878 82892398930 105499416820 116049358502 159756259756 165784797860 199695324695 210998833640 232098717004 279573454573 290123396255 319512519512 331569595720 399390649390 439329714329 464197434008 559146909146 580246792510 798781298780 878659428658 1118293818292 1160493585020 1397867272865 1597562597560 1757318857316 2196648571645 2236587636584 2320987170040 2795734545730 3075308000303 3514637714632 4393297143290 5591469091460 6150616000606 8786594286580 11182938182920 12301232001212 15376540001515 17573188573160 24602464002424 30753080003030 61506160006060 123012320012120