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121211110212000 = 2535310100925851
BaseRepresentation
bin11011100011110110101001…
…001010101100000110100000
3120220011200001200022101121020
4123203312221022230012200
5111341410323203241000
61105443340523525440
734350133210136634
oct3343665112540640
9526150050271536
10121211110212000
1135692385824a96
1211717637689880
13528320a719a03
1421d0912d56dc4
15e02ea4900ba0
hex6e3da92ac1a0

121211110212000 has 96 divisors (see below), whose sum is σ = 397087597093824. Its totient is φ = 32322962720000.

The previous prime is 121211110211981. The next prime is 121211110212011. The reversal of 121211110212000 is 212011112121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1212111102120002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 5050450926 + ... + 5050474925.

It is an arithmetic number, because the mean of its divisors is an integer number (4136329136394).

Almost surely, 2121211110212000 is an apocalyptic number.

121211110212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211110212000 is an abundant number, since it is smaller than the sum of its proper divisors (275876486881824).

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

121211110212000 is a wasteful number, since it uses less digits than its factorization.

121211110212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100925879 (or 10100925861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121211110212000 its reverse (212011112121), we get a palindrome (121423121324121).

The spelling of 121211110212000 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred ten million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 10100925851 20201851702 30302777553 40403703404 50504629255 60605555106 80807406808 101009258510 121211110212 151513887765 161614813616 202018517020 242422220424 252523146275 303027775530 323229627232 404037034040 484844440848 505046292550 606055551060 757569438825 808074068080 969688881696 1010092585100 1212111102120 1262615731375 1515138877650 1616148136160 2020185170200 2424222204240 2525231462750 3030277755300 3787847194125 4040370340400 4848444408480 5050462925500 6060555510600 7575694388250 8080740680800 10100925851000 12121111021200 15151388776500 20201851702000 24242222042400 30302777553000 40403703404000 60605555106000 121211110212000