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123126012045 = 3252736133601
BaseRepresentation
bin111001010101011100…
…0011101100010001101
3102202210212022110212100
41302222320131202031
54004130224341140
6132321401425313
711616114556101
oct1625270354215
9382725273770
10123126012045
1148243473253
121ba4279b239
13b7c2a1c13a
145d60591901
15330963b530
hex1caae1d88d

123126012045 has 12 divisors (see below), whose sum is σ = 213418420956. Its totient is φ = 65667206400.

The previous prime is 123126012017. The next prime is 123126012077. The reversal of 123126012045 is 540210621321.

123126012045 is a `hidden beast` number, since 1 + 2 + 3 + 12 + 601 + 2 + 0 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54865566756 + 68260445289 = 234234^2 + 261267^2 .

It is not a de Polignac number, because 123126012045 - 27 = 123126011917 is a prime.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1368066756 + ... + 1368066845.

It is an arithmetic number, because the mean of its divisors is an integer number (17784868413).

Almost surely, 2123126012045 is an apocalyptic number.

123126012045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123126012045 is a deficient number, since it is larger than the sum of its proper divisors (90292408911).

123126012045 is a wasteful number, since it uses less digits than its factorization.

123126012045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736133612 (or 2736133609 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 123126012045 its reverse (540210621321), we get a palindrome (663336633366).

The spelling of 123126012045 in words is "one hundred twenty-three billion, one hundred twenty-six million, twelve thousand, forty-five".

Divisors: 1 3 5 9 15 45 2736133601 8208400803 13680668005 24625202409 41042004015 123126012045