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12124642121 = 191275024717
BaseRepresentation
bin10110100101010111…
…10101101101001001
31011021222122122012022
423102223311231021
5144312402021441
65323041054225
7606313520564
oct132253655511
934258578168
1012124642121
115162054099
122424627375
1311b2c25667
148303c54db
154ae69184b
hex2d2af5b49

12124642121 has 8 divisors (see below), whose sum is σ = 12863278080. Its totient is φ = 11396055888.

The previous prime is 12124642109. The next prime is 12124642133.

12124642121 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (12124642109) and next prime (12124642133).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12124642121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12124642171) 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 7 ways as a sum of consecutive naturals, for example, 2509946 + ... + 2514771.

It is an arithmetic number, because the mean of its divisors is an integer number (1607909760).

Almost surely, 212124642121 is an apocalyptic number.

It is an amenable number.

12124642121 is a deficient number, since it is larger than the sum of its proper divisors (738635959).

12124642121 is a wasteful number, since it uses less digits than its factorization.

12124642121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024863.

The product of its digits is 1536, while the sum is 26.

The spelling of 12124642121 in words is "twelve billion, one hundred twenty-four million, six hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 19 127 2413 5024717 95469623 638139059 12124642121