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123300433125012 = 2231113194773689141
BaseRepresentation
bin11100000010010000011110…
…100001000101111010010100
3121011120101222011222100221210
4130002100132201011322110
5112130123241340000022
61114123234220541420
734654106450651013
oct3402203641057224
9534511864870853
10123300433125012
1136318469077440
12119b45496b1870
1353a5247727260
142263ab6812a7a
15e3c4d95b1a0c
hex70241e845e94

123300433125012 has 96 divisors (see below), whose sum is σ = 338015835448704. Its totient is φ = 34487851507200.

The previous prime is 123300433125011. The next prime is 123300433125017. The reversal of 123300433125012 is 210521334003321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123300433125011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31577962 + ... + 35267102.

It is an arithmetic number, because the mean of its divisors is an integer number (3520998285924).

Almost surely, 2123300433125012 is an apocalyptic number.

123300433125012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123300433125012 is an abundant number, since it is smaller than the sum of its proper divisors (214715402323692).

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

123300433125012 is a wasteful number, since it uses less digits than its factorization.

123300433125012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708649 (or 3708647 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 123300433125012 its reverse (210521334003321), we get a palindrome (333821767128333).

The spelling of 123300433125012 in words is "one hundred twenty-three trillion, three hundred billion, four hundred thirty-three million, one hundred twenty-five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 19477 38954 58431 77908 116862 214247 233724 253201 428494 506402 642741 759603 856988 1012804 1285482 1519206 2570964 2785211 3038412 3689141 5570422 7378282 8355633 11067423 11140844 14756564 16711266 22134846 33422532 40580551 44269692 47958833 81161102 95917666 121741653 143876499 162322204 191835332 243483306 287752998 486966612 527547163 575505996 1055094326 1582641489 2110188652 3165282978 6330565956 71853399257 143706798514 215560197771 287413597028 431120395542 790387391827 862240791084 934094190341 1580774783654 1868188380682 2371162175481 2802282571023 3161549567308 3736376761364 4742324350962 5604565142046 9484648701924 10275036093751 11209130284092 20550072187502 30825108281253 41100144375004 61650216562506 123300433125012