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12130404334129 = 792440872
BaseRepresentation
bin1011000010000101010001…
…1100001111101000110001
31120221122200201211122120101
42300201110130033220301
53042221032002143004
641444344131312401
72361251504402404
oct260412434175061
946848621748511
1012130404334129
11395752600a174
12143ab53a4b701
1369cb7a292683
142dd186a59d3b
15160816501ba4
hexb085470fa31

12130404334129 has 9 divisors (see below), whose sum is σ = 12286176099897. Its totient is φ = 11976583248084.

The previous prime is 12130404334031. The next prime is 12130404334133. The reversal of 12130404334129 is 92143340403121.

It is a happy number.

The square root of 12130404334129 is 3482873.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 12130404334129 - 215 = 12130404301361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12130404334229) 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 8 ways as a sum of consecutive naturals, for example, 275124924 + ... + 275169010.

Almost surely, 212130404334129 is an apocalyptic number.

12130404334129 is the 3482873-rd square number.

12130404334129 is the 1741437-th centered octagonal number.

It is an amenable number.

12130404334129 is a deficient number, since it is larger than the sum of its proper divisors (155771765768).

12130404334129 is an frugal number, since it uses more digits than its factorization.

12130404334129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88332 (or 44166 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 12130404334129 in words is "twelve trillion, one hundred thirty billion, four hundred four million, three hundred thirty-four thousand, one hundred twenty-nine".

Divisors: 1 79 6241 44087 3482873 275146967 1943663569 153549421951 12130404334129