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123201120140 = 225710323113697
BaseRepresentation
bin111001010111101011…
…0111110011110001100
3102210000002122100210122
41302233112332132030
54004303441321030
6132333043324112
711621016146120
oct1625726763614
9383002570718
10123201120140
114828190305a
121ba63980638
13b8054589b7
145d6a543580
1533110258e5
hex1caf5be78c

123201120140 has 96 divisors (see below), whose sum is σ = 298763372544. Its totient is φ = 41800872960.

The previous prime is 123201120131. The next prime is 123201120157. The reversal of 123201120140 is 41021102321.

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, 33322772 + ... + 33326468.

It is an arithmetic number, because the mean of its divisors is an integer number (3112118464).

Almost surely, 2123201120140 is an apocalyptic number.

123201120140 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 123201120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149381686272).

123201120140 is an abundant number, since it is smaller than the sum of its proper divisors (175562252404).

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

123201120140 is a wasteful number, since it uses less digits than its factorization.

123201120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 123201120140 its reverse (41021102321), we get a palindrome (164222222461).

The spelling of 123201120140 in words is "one hundred twenty-three billion, two hundred one million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2311 2884 3605 3697 4622 7210 7394 9244 11555 14420 14788 16177 18485 23110 25879 32354 36970 46220 51758 64708 73940 80885 103516 129395 161770 238033 258790 323540 380791 476066 517580 761582 952132 1190165 1523164 1666231 1903955 2380330 2665537 3332462 3807910 4760660 5331074 6664924 7615820 8331155 8543767 10662148 13327685 16662310 17087534 26655370 33324620 34175068 42718835 53310740 59806369 85437670 119612738 170875340 239225476 299031845 598063690 880008001 1196127380 1760016002 3520032004 4400040005 6160056007 8800080010 12320112014 17600160020 24640224028 30800280035 61600560070 123201120140