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12408123942 = 233229780073
BaseRepresentation
bin10111000111001010…
…01111001000100110
31012000202002000011000
423203211033020212
5200402434431232
65411125054130
7616325212314
oct134345171046
935022060130
1012408123942
115298076195
1224a3557346
13122988ba96
14859cd90b4
154c94db27c
hex2e394f226

12408123942 has 16 divisors (see below), whose sum is σ = 27573608880. Its totient is φ = 4136041296.

The previous prime is 12408123941. The next prime is 12408123943. The reversal of 12408123942 is 24932180421.

12408123942 is a `hidden beast` number, since 12 + 408 + 1 + 239 + 4 + 2 = 666.

12408123942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12408123941) and next prime (12408123943).

It is a junction number, because it is equal to n+sod(n) for n = 12408123897 and 12408123906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12408123941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114889983 + ... + 114890090.

It is an arithmetic number, because the mean of its divisors is an integer number (1723350555).

Almost surely, 212408123942 is an apocalyptic number.

12408123942 is an abundant number, since it is smaller than the sum of its proper divisors (15165484938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12408123942 is a wasteful number, since it uses less digits than its factorization.

12408123942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229780084 (or 229780078 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12408123942 in words is "twelve billion, four hundred eight million, one hundred twenty-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 229780073 459560146 689340219 1378680438 2068020657 4136041314 6204061971 12408123942