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120220021100112 = 2436757116545587
BaseRepresentation
bin11011010101011011100111…
…101001110000111001010000
3120202122220212222021222121020
4123111123213221300321100
5111224141100400200422
61103404152032355440
734215416123525343
oct3325334751607120
9522586788258536
10120220021100112
113534002a86623a
12115975419a5b80
13521091260083b
14219897416a45a
15dd72ea61295c
hex6d56e7a70e50

120220021100112 has 80 divisors (see below), whose sum is σ = 315258977467392. Its totient is φ = 39468312639360.

The previous prime is 120220021100099. The next prime is 120220021100171. The reversal of 120220021100112 is 211001120022021.

It is a super-2 number, since 2×1202200211001122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120220021100091 and 120220021100100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15093783 + ... + 21639369.

Almost surely, 2120220021100112 is an apocalyptic number.

120220021100112 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 120220021100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157629488733696).

120220021100112 is an abundant number, since it is smaller than the sum of its proper divisors (195038956367280).

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

120220021100112 is a wasteful number, since it uses less digits than its factorization.

120220021100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551376 (or 6551370 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120220021100112 its reverse (211001120022021), we get a palindrome (331221141122133).

The spelling of 120220021100112 in words is "one hundred twenty trillion, two hundred twenty billion, twenty-one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 5711 11422 17133 22844 34266 45688 68532 91376 137064 274128 382637 765274 1147911 1530548 2295822 3061096 4591644 6122192 6545587 9183288 13091174 18366576 19636761 26182348 39273522 52364696 78547044 104729392 157094088 314188176 438554329 877108658 1315662987 1754217316 2631325974 3508434632 5262651948 7016869264 10525303896 21050607792 37381847357 74763694714 112145542071 149527389428 224291084142 299054778856 448582168284 598109557712 897164336568 1794328673136 2504583772919 5009167545838 7513751318757 10018335091676 15027502637514 20036670183352 30055005275028 40073340366704 60110010550056 120220021100112