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12121123301 = 717293512351
BaseRepresentation
bin10110100100111100…
…11010100111100101
31011021202000212021122
423102132122213211
5144311001421201
65322433423325
7606241563620
oct132236324745
934252025248
1012121123301
115160070381
12242340ab45
1311b2292b11
1482db4adb7
154ae1e8e1b
hex2d279a9e5

12121123301 has 16 divisors (see below), whose sum is σ = 15173360640. Its totient is φ = 9441196800.

The previous prime is 12121123291. The next prime is 12121123307. The reversal of 12121123301 is 10332112121.

It is not a de Polignac number, because 12121123301 - 26 = 12121123237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12121123301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121123307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1752725 + ... + 1759626.

It is an arithmetic number, because the mean of its divisors is an integer number (948335040).

Almost surely, 212121123301 is an apocalyptic number.

It is an amenable number.

12121123301 is a deficient number, since it is larger than the sum of its proper divisors (3052237339).

12121123301 is a wasteful number, since it uses less digits than its factorization.

12121123301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512404.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12121123301 its reverse (10332112121), we get a palindrome (22453235422).

The spelling of 12121123301 in words is "twelve billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred one".

Divisors: 1 7 17 29 119 203 493 3451 3512351 24586457 59709967 101858179 417969769 713007253 1731589043 12121123301