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12130603121 = 7213236771223
BaseRepresentation
bin10110100110000101…
…00101000001110001
31011022101212111011002
423103002211001301
5144320413244441
65323412531345
7606415265600
oct132302450161
934271774132
1012130603121
11516545573a
122426620b55
1311b4231990
148310d7a37
154aee6cb9b
hex2d30a5071

12130603121 has 48 divisors (see below), whose sum is σ = 15893708544. Its totient is φ = 9159486336.

The previous prime is 12130603103. The next prime is 12130603139.

12130603121 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (12130603103) and next prime (12130603139).

It is not a de Polignac number, because 12130603121 - 226 = 12063494257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12130603093 and 12130603102.

It is not an unprimeable number, because it can be changed into a prime (12130603141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9918116 + ... + 9919338.

It is an arithmetic number, because the mean of its divisors is an integer number (331118928).

Almost surely, 212130603121 is an apocalyptic number.

It is an amenable number.

12130603121 is a deficient number, since it is larger than the sum of its proper divisors (3763105423).

12130603121 is a wasteful number, since it uses less digits than its factorization.

12130603121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 12130603121 in words is "twelve billion, one hundred thirty million, six hundred three thousand, one hundred twenty-one".

Divisors: 1 7 13 23 49 91 161 299 637 677 1127 1223 2093 4739 8561 8801 14651 15571 15899 28129 33173 59927 61607 108997 111293 196903 202423 365677 431249 762979 779051 827971 1378321 1416961 2559739 5795797 9918727 10763623 17918173 19043333 40570579 75345361 133303331 247563329 527417527 933123317 1732943303 12130603121