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120143324033112 = 233195571021463291
BaseRepresentation
bin11011010100010100001100…
…001001101011000001011000
3120202101120220211020021220010
4123110110030021223001120
5111221412011423024422
61103305025304201520
734210032366313122
oct3324241411530130
9522346824207803
10120143324033112
1135310552317656
12115846b81692a0
13520660b867063
142194d79d32212
15dd530c0c5b0c
hex6d450c26b058

120143324033112 has 128 divisors (see below), whose sum is σ = 317045170310400. Its totient is φ = 37834707571200.

The previous prime is 120143324033069. The next prime is 120143324033119. The reversal of 120143324033112 is 211330423341021.

It is a self number, because there is not a number n which added to its sum of digits gives 120143324033112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120143324033119) 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, 259094187 + ... + 259557477.

It is an arithmetic number, because the mean of its divisors is an integer number (2476915393050).

Almost surely, 2120143324033112 is an apocalyptic number.

120143324033112 is a gapful number since it is divisible by the number (12) 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 120143324033112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158522585155200).

120143324033112 is an abundant number, since it is smaller than the sum of its proper divisors (196901846277288).

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

120143324033112 is a wasteful number, since it uses less digits than its factorization.

120143324033112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464897 (or 464893 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 120143324033112 its reverse (211330423341021), we get a palindrome (331473747374133).

The spelling of 120143324033112 in words is "one hundred twenty trillion, one hundred forty-three billion, three hundred twenty-four million, thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 557 1021 1114 1671 2042 2228 3063 3342 4084 4456 6126 6684 8168 10583 12252 13368 19399 21166 24504 31749 38798 42332 58197 63498 77596 84664 116394 126996 155192 232788 253992 463291 465576 568697 926582 1137394 1389873 1706091 1853164 2274788 2779746 3412182 3706328 4549576 5559492 6824364 8802529 10805243 11118984 13648728 17605058 21610486 26407587 32415729 35210116 43220972 52815174 64831458 70420232 86441944 105630348 129662916 211260696 258053087 259325832 473020111 516106174 774159261 946040222 1032212348 1419060333 1548318522 1892080444 2064424696 2838120666 3096637044 3784160888 4903008653 5676241332 6193274088 8987382109 9806017306 11352482664 14709025959 17974764218 19612034612 26962146327 29418051918 35949528436 39224069224 53924292654 58836103836 71899056872 107848585308 117672207672 215697170616 263472201827 526944403654 790416605481 1053888807308 1580833210962 2107777614616 3161666421924 5005971834713 6323332843848 10011943669426 15017915504139 20023887338852 30035831008278 40047774677704 60071662016556 120143324033112