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120512113313652 = 223243233944097549
BaseRepresentation
bin11011011001101011101001…
…101101001000011101110100
3120210200211211101022211122100
4123121223221231020131310
5111243432302002014102
61104150300042302100
734245466340423004
oct3331535155103564
9523624741284570
10120512113313652
113544299a248525
121162407aab7930
135232322034958
1421a8b62d6a004
15ddebe393da1c
hex6d9ae9b48774

120512113313652 has 144 divisors (see below), whose sum is σ = 311957525880000. Its totient is φ = 39205637549568.

The previous prime is 120512113313573. The next prime is 120512113313717. The reversal of 120512113313652 is 256313311215021.

It is a happy number.

120512113313652 is a `hidden beast` number, since 1 + 2 + 0 + 51 + 211 + 3 + 31 + 365 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15963979974 + ... + 15963987522.

It is an arithmetic number, because the mean of its divisors is an integer number (2166371707500).

Almost surely, 2120512113313652 is an apocalyptic number.

120512113313652 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 120512113313652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155978762940000).

120512113313652 is an abundant number, since it is smaller than the sum of its proper divisors (191445412566348).

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

120512113313652 is a wasteful number, since it uses less digits than its factorization.

120512113313652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14350 (or 14345 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 120512113313652 its reverse (256313311215021), we get a palindrome (376825424528673).

The spelling of 120512113313652 in words is "one hundred twenty trillion, five hundred twelve billion, one hundred thirteen million, three hundred thirteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 2339 4409 4678 7017 7549 8818 9356 13227 14034 15098 17636 21051 22647 26454 28068 30196 39681 42102 45294 52908 67941 79362 84204 90588 100577 135882 158724 189587 201154 271764 301731 324607 379174 402308 568761 603462 649214 758348 905193 973821 1137522 1206924 1298428 1706283 1810386 1947642 2275044 2921463 3412566 3620772 3895284 5842926 6825132 10312651 11685852 17657111 20625302 30937953 33283541 35314222 41250604 52971333 61875906 66567082 70628444 92813859 99850623 105942666 123751812 133134164 158913999 185627718 199701246 211885332 299551869 317827998 371255436 399402492 443443993 599103738 635655996 759255773 886887986 1198207476 1330331979 1431192263 1518511546 1773775972 2277767319 2660663958 2862384526 3037023092 3990995937 4293576789 4555534638 5321327916 5724769052 6833301957 7981991874 8587153578 9111069276 12880730367 13666603914 15963983748 17174307156 25761460734 27333207828 51522921468 77850202399 155700404798 233550607197 311400809596 467101214394 700651821591 934202428788 1401303643182 2802607286364 3347558703157 6695117406314 10042676109471 13390234812628 20085352218942 30128028328413 40170704437884 60256056656826 120512113313652