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12023100122201 = 72892756959441
BaseRepresentation
bin1010111011110101100010…
…0111001010010001011001
31120120101201112000220012222
42232331120213022101121
53033441302112402301
641323200321513425
72350432425553400
oct256753047122131
946511645026188
1012023100122201
113915a71639593
1214221a7aa2875
13692a0943604c
142d7cc78d0637
1515cb35e0b31b
hexaef589ca459

12023100122201 has 12 divisors (see below), whose sum is σ = 14143201937460. Its totient is φ = 10189722090240.

The previous prime is 12023100122161. The next prime is 12023100122213. The reversal of 12023100122201 is 10222100132021.

It can be written as a sum of positive squares in 2 ways, for example, as 3826331122201 + 8196769000000 = 1956101^2 + 2863000^2 .

It is not a de Polignac number, because 12023100122201 - 210 = 12023100121177 is a prime.

It is a super-2 number, since 2×120231001222012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12023100122201.

It is not an unprimeable number, because it can be changed into a prime (12023100122291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1378475360 + ... + 1378484081.

It is an arithmetic number, because the mean of its divisors is an integer number (1178600161455).

Almost surely, 212023100122201 is an apocalyptic number.

It is an amenable number.

12023100122201 is a deficient number, since it is larger than the sum of its proper divisors (2120101815259).

12023100122201 is an equidigital number, since it uses as much as digits as its factorization.

12023100122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756959544 (or 2756959537 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12023100122201 its reverse (10222100132021), we get a palindrome (22245200254222).

The spelling of 12023100122201 in words is "twelve trillion, twenty-three billion, one hundred million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 7 49 89 623 4361 2756959441 19298716087 135091012609 245369390249 1717585731743 12023100122201