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12121201200101 = 741283149237281
BaseRepresentation
bin1011000001100010111111…
…1001000100101111100101
31120220202221100112000001112
42300120233321010233211
53042043210001400401
641440223012234405
72360504444142020
oct260305771045745
946822840460045
1012121201200101
113953633095384
12143920590ba05
1369c0416cb736
142dc9526881b7
1516047859c3bb
hexb062fe44be5

12121201200101 has 16 divisors (see below), whose sum is σ = 14240818397568. Its totient is φ = 10100379110400.

The previous prime is 12121201200089. The next prime is 12121201200197. The reversal of 12121201200101 is 10100210212121.

It is a cyclic number.

It is not a de Polignac number, because 12121201200101 - 210 = 12121201199077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121201200401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74537420 + ... + 74699861.

It is an arithmetic number, because the mean of its divisors is an integer number (890051149848).

Almost surely, 212121201200101 is an apocalyptic number.

It is an amenable number.

12121201200101 is a deficient number, since it is larger than the sum of its proper divisors (2119617197467).

12121201200101 is a wasteful number, since it uses less digits than its factorization.

12121201200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149237612.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12121201200101 its reverse (10100210212121), we get a palindrome (22221411412222).

The spelling of 12121201200101 in words is "twelve trillion, one hundred twenty-one billion, two hundred one million, two hundred thousand, one hundred one".

Divisors: 1 7 41 283 287 1981 11603 81221 149237281 1044660967 6118728521 42234150523 42831099647 295639053661 1731600171443 12121201200101