Search a number
-
+
123012200211000 = 23353263155908999
BaseRepresentation
bin11011111110000100000010…
…011111110010001000111000
3121010112211222201220020121020
4123332010002133302020320
5112110412441223223000
61113343005153142440
734624223665421442
oct3376040237621070
9533484881806536
10123012200211000
11362171aa108aa1
1211968708b5aa20
135384001720729
142253b723bd492
15e34c69eb6ba0
hex6fe1027f2238

123012200211000 has 128 divisors (see below), whose sum is σ = 385257375360000. Its totient is φ = 32678525980800.

The previous prime is 123012200210983. The next prime is 123012200211001. The reversal of 123012200211000 is 112002210321.

It is a super-2 number, since 2×1230122002110002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123012200211001) by changing a digit.

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, 77165500 + ... + 78743499.

It is an arithmetic number, because the mean of its divisors is an integer number (3009823245000).

Almost surely, 2123012200211000 is an apocalyptic number.

123012200211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123012200211000 is an abundant number, since it is smaller than the sum of its proper divisors (262245175149000).

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

123012200211000 is a wasteful number, since it uses less digits than its factorization.

123012200211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155909286 (or 155909272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 123012200211000 its reverse (112002210321), we get a palindrome (123124202421321).

The spelling of 123012200211000 in words is "one hundred twenty-three trillion, twelve billion, two hundred million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 263 300 375 500 526 600 750 789 1000 1052 1315 1500 1578 2104 2630 3000 3156 3945 5260 6312 6575 7890 10520 13150 15780 19725 26300 31560 32875 39450 52600 65750 78900 98625 131500 157800 197250 263000 394500 789000 155908999 311817998 467726997 623635996 779544995 935453994 1247271992 1559089990 1870907988 2338634985 3118179980 3741815976 3897724975 4677269970 6236359960 7795449950 9354539940 11693174925 15590899900 18709079880 19488624875 23386349850 31181799800 38977249750 41004066737 46772699700 58465874625 77954499500 82008133474 93545399400 116931749250 123012200211 155908999000 164016266948 205020333685 233863498500 246024400422 328032533896 410040667370 467726997000 492048800844 615061001055 820081334740 984097601688 1025101668425 1230122002110 1640162669480 2050203336850 2460244004220 3075305005275 4100406673700 4920488008440 5125508342125 6150610010550 8200813347400 10251016684250 12301220021100 15376525026375 20502033368500 24602440042200 30753050052750 41004066737000 61506100105500 123012200211000