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121101111211002 = 23136774513110027
BaseRepresentation
bin11011100010010000001100…
…101101110011001111111010
3120212210011010122210011121020
4123202100030231303033322
5111333110033432223002
61105321025451323310
734336160300100006
oct3342201455631772
9525704118704536
10121101111211002
113564a7691a74aa
12116ba259150536
135275a2a4ac740
1421c9479d53706
15e001b79542bc
hex6e240cb733fa

121101111211002 has 64 divisors (see below), whose sum is σ = 264761808966144. Its totient is φ = 36700794820800.

The previous prime is 121101111211001. The next prime is 121101111211037. The reversal of 121101111211002 is 200112111101121.

It is not an unprimeable number, because it can be changed into a prime (121101111211001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37383913 + ... + 40493939.

It is an arithmetic number, because the mean of its divisors is an integer number (4136903265096).

Almost surely, 2121101111211002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121101111211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132380904483072).

121101111211002 is an abundant number, since it is smaller than the sum of its proper divisors (143660697755142).

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

121101111211002 is a wasteful number, since it uses less digits than its factorization.

121101111211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117563.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 121101111211002 its reverse (200112111101121), we get a palindrome (321213222312123).

The spelling of 121101111211002 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred eleven million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 402 871 1742 2613 5226 7451 14902 22353 44706 96863 193726 290589 499217 581178 998434 1497651 2995302 3110027 6220054 6489821 9330081 12979642 18660162 19469463 38938926 40430351 80860702 121291053 208371809 242582106 416743618 625115427 1250230854 2708833517 5417667034 8126500551 16253001102 23172811177 46345622354 69518433531 139036867062 301246545301 602493090602 903739635903 1552578348859 1807479271806 3105156697718 4657735046577 9315470093154 20183518535167 40367037070334 60550555605501 121101111211002