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12121134135 = 351173461419
BaseRepresentation
bin10110100100111100…
…11101010000110111
31011021202001102010220
423102132131100313
5144311002243020
65322433545423
7606241640325
oct132236352067
934252042126
1012121134135
115160078530
122423415273
1311b2297a26
1482db50d15
154ae1ec240
hex2d279d437

12121134135 has 16 divisors (see below), whose sum is σ = 21156888960. Its totient is φ = 5876913440.

The previous prime is 12121134101. The next prime is 12121134143. The reversal of 12121134135 is 53143112121.

It is not a de Polignac number, because 12121134135 - 28 = 12121133879 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 36730545 + ... + 36730874.

It is an arithmetic number, because the mean of its divisors is an integer number (1322305560).

Almost surely, 212121134135 is an apocalyptic number.

12121134135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12121134135 is a deficient number, since it is larger than the sum of its proper divisors (9035754825).

12121134135 is a wasteful number, since it uses less digits than its factorization.

12121134135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73461438.

The product of its digits is 720, while the sum is 24.

Adding to 12121134135 its reverse (53143112121), we get a palindrome (65264246256).

The spelling of 12121134135 in words is "twelve billion, one hundred twenty-one million, one hundred thirty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 165 73461419 220384257 367307095 808075609 1101921285 2424226827 4040378045 12121134135