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122406399 = 3213600711
BaseRepresentation
bin1110100101111…
…00010111111111
322112022220000100
413102330113333
5222314001044
620051332143
73014302653
oct722742777
9275286010
10122406399
1163105815
1234bb1053
131c48a32b
1412384a63
15ab2d869
hex74bc5ff

122406399 has 6 divisors (see below), whose sum is σ = 176809256. Its totient is φ = 81604260.

The previous prime is 122406373. The next prime is 122406407. The reversal of 122406399 is 993604221.

122406399 is a `hidden beast` number, since 12 + 2 + 4 + 0 + 639 + 9 = 666.

It is not a de Polignac number, because 122406399 - 25 = 122406367 is a prime.

It is a super-2 number, since 2×1224063992 = 29966653032294402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122406359) 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 5 ways as a sum of consecutive naturals, for example, 6800347 + ... + 6800364.

Almost surely, 2122406399 is an apocalyptic number.

122406399 is a deficient number, since it is larger than the sum of its proper divisors (54402857).

122406399 is a wasteful number, since it uses less digits than its factorization.

122406399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13600717 (or 13600714 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 122406399 is about 11063.7425403884. The cubic root of 122406399 is about 496.5176683715.

The spelling of 122406399 in words is "one hundred twenty-two million, four hundred six thousand, three hundred ninety-nine".

Divisors: 1 3 9 13600711 40802133 122406399