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123012240115440 = 243513101390366337
BaseRepresentation
bin11011111110000100000100…
…111000000000011011110000
3121010112212002111222121012110
4123332010010320000123300
5112110413031432143230
61113343013140325320
734624224661541064
oct3376040470003360
9533485074877173
10123012240115440
113621721a693875
121196871a3a3840
135384009a82920
142253b77809aa4
15e34c6d74a4b0
hex6fe104e006f0

123012240115440 has 160 divisors (see below), whose sum is σ = 414737689214016. Its totient is φ = 29980134604800.

The previous prime is 123012240115393. The next prime is 123012240115477. The reversal of 123012240115440 is 44511042210321.

It is a super-2 number, since 2×1230122401154402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123012240115398 and 123012240115407.

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, 194868049 + ... + 195498288.

Almost surely, 2123012240115440 is an apocalyptic number.

123012240115440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123012240115440 is an abundant number, since it is smaller than the sum of its proper divisors (291725449098576).

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

123012240115440 is a wasteful number, since it uses less digits than its factorization.

123012240115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390366467 (or 390366461 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 123012240115440 its reverse (44511042210321), we get a palindrome (167523282325761).

The spelling of 123012240115440 in words is "one hundred twenty-three trillion, twelve billion, two hundred forty million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 101 104 120 130 156 195 202 208 240 260 303 312 390 404 505 520 606 624 780 808 1010 1040 1212 1313 1515 1560 1616 2020 2424 2626 3030 3120 3939 4040 4848 5252 6060 6565 7878 8080 10504 12120 13130 15756 19695 21008 24240 26260 31512 39390 52520 63024 78780 105040 157560 315120 390366337 780732674 1171099011 1561465348 1951831685 2342198022 3122930696 3903663370 4684396044 5074762381 5855495055 6245861392 7807326740 9368792088 10149524762 11710990110 15224287143 15614653480 18737584176 20299049524 23421980220 25373811905 30448574286 31229306960 39427000037 40598099048 46843960440 50747623810 60897148572 76121435715 78854000074 81196198096 93687920880 101495247620 118281000111 121794297144 152242871430 157708000148 197135000185 202990495240 236562000222 243588594288 304485742860 315416000296 394270000370 405980990480 473124000444 512551000481 591405000555 608971485720 630832000592 788540000740 946248000888 1025102000962 1182810001110 1217942971440 1537653001443 1577080001480 1892496001776 2050204001924 2365620002220 2562755002405 3075306002886 3154160002960 4100408003848 4731240004440 5125510004810 6150612005772 7688265007215 8200816007696 9462480008880 10251020009620 12301224011544 15376530014430 20502040019240 24602448023088 30753060028860 41004080038480 61506120057720 123012240115440