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12429797121 = 327253092
BaseRepresentation
bin10111001001101111…
…11010011100000001
31012002020212010011100
423210313322130001
5200424012001441
65413221405013
7620010350400
oct134467723401
935066763140
1012429797121
1152a9329605
1224aa869769
131231209951
1485cb3b637
154cb36ccb6
hex2e4dfa701

12429797121 has 27 divisors (see below), whose sum is σ = 20889376131. Its totient is φ = 7101403344.

The previous prime is 12429797113. The next prime is 12429797123. The reversal of 12429797121 is 12179792421.

It is a happy number.

The square root of 12429797121 is 111489.

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

12429797121 is a `hidden beast` number, since 12 + 429 + 7 + 97 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42107121 + 12387690000 = 6489^2 + 111300^2 .

It is not a de Polignac number, because 12429797121 - 23 = 12429797113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12429797123) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2338615 + ... + 2343923.

Almost surely, 212429797121 is an apocalyptic number.

12429797121 is the 111489-th square number.

12429797121 is the 55745-th centered octagonal number.

It is an amenable number.

12429797121 is a deficient number, since it is larger than the sum of its proper divisors (8459579010).

12429797121 is an frugal number, since it uses more digits than its factorization.

12429797121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10638 (or 5319 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The spelling of 12429797121 in words is "twelve billion, four hundred twenty-nine million, seven hundred ninety-seven thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 5309 15927 37163 47781 111489 260141 334467 780423 2341269 28185481 84556443 197298367 253669329 591895101 1381088569 1775685303 4143265707 12429797121