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12120020200101 = 31153101379181031
BaseRepresentation
bin1011000001011110100101…
…1111111010101010100101
31120220122220001020222121210
42300113221133322222211
53042033300132400401
641435505503302033
72360433253616232
oct260275137725245
946818801228553
1012120020200101
113953087486620
121438b362aa919
1369bbb3b2a478
142dc87d8a2789
15160409a664d6
hexb05e97faaa5

12120020200101 has 64 divisors (see below), whose sum is σ = 18187546429440. Its totient is φ = 7116651360000.

The previous prime is 12120020200091. The next prime is 12120020200153. The reversal of 12120020200101 is 10100202002121.

It is not a de Polignac number, because 12120020200101 - 26 = 12120020200037 is a prime.

It is a super-5 number, since 5×121200202001015 (a number of 67 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120020200181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66859456 + ... + 67040486.

It is an arithmetic number, because the mean of its divisors is an integer number (284180412960).

Almost surely, 212120020200101 is an apocalyptic number.

12120020200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12120020200101 is a deficient number, since it is larger than the sum of its proper divisors (6067526229339).

12120020200101 is a wasteful number, since it uses less digits than its factorization.

12120020200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181578.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12120020200101 its reverse (10100202002121), we get a palindrome (22220222202222).

The spelling of 12120020200101 in words is "twelve trillion, one hundred twenty billion, twenty million, two hundred thousand, one hundred one".

Divisors: 1 3 11 33 53 101 159 303 379 583 1111 1137 1749 3333 4169 5353 12507 16059 20087 38279 58883 60261 114837 176649 181031 220957 421069 543093 662871 1263207 1991341 2028787 5974023 6086361 9594643 18284131 22316657 28783929 54852393 66949971 68610749 105541073 201125441 205832247 316623219 603376323 754718239 969058943 2264154717 2907176829 3636369697 6929685649 10659648373 10909109091 20789056947 31978945119 40000066667 76226542139 120000200001 228679626417 367273339397 1101820018191 4040006733367 12120020200101