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121201212122001 = 32118399811457479
BaseRepresentation
bin11011100011101101011011…
…001100011110001110010001
3120220010201111212022022201100
4123203231123030132032101
5111341230040300401001
61105435022421255013
734346333010563454
oct3343553314361621
9526121455268640
10121201212122001
1135689166596520
1211715734864469
1352822c0b9151b
1421d025456149b
15e02ac5973586
hex6e3b5b31e391

121201212122001 has 24 divisors (see below), whose sum is σ = 190984086596160. Its totient is φ = 73455142226400.

The previous prime is 121201212121987. The next prime is 121201212122033. The reversal of 121201212122001 is 100221212102121.

121201212122001 is a `hidden beast` number, since 12 + 120 + 121 + 212 + 200 + 1 = 666.

It is not a de Polignac number, because 121201212122001 - 215 = 121201212089233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121201212522001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82429380 + ... + 83886858.

It is an arithmetic number, because the mean of its divisors is an integer number (7957670274840).

Almost surely, 2121201212122001 is an apocalyptic number.

121201212122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121201212122001 is a deficient number, since it is larger than the sum of its proper divisors (69782874474159).

121201212122001 is a wasteful number, since it uses less digits than its factorization.

121201212122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297477 (or 2297474 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121201212122001 its reverse (100221212102121), we get a palindrome (221422424224122).

The spelling of 121201212122001 in words is "one hundred twenty-one trillion, two hundred one billion, two hundred twelve million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 11 33 99 839981 1457479 2519943 4372437 7559829 9239791 13117311 16032269 27719373 48096807 83158119 144290421 1224254667899 3672764003697 11018292011091 13466801346889 40400404040667 121201212122001