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12000010110001 = 29739758437149
BaseRepresentation
bin1010111010011111100001…
…0101110000010000110001
31120111012010100002202002221
42232213320111300100301
53033102010042010001
641304421210441041
72345654302650514
oct256477025602061
946435110082087
1012000010110001
1139071a295a681
121419823133181
1369079981c534
142d6b37090d7b
1515c233c6b1a1
hexae9f8570431

12000010110001 has 16 divisors (see below), whose sum is σ = 12713586354000. Its totient is φ = 11309691875328.

The previous prime is 12000010109981. The next prime is 12000010110017. The reversal of 12000010110001 is 10001101000021.

It can be written as a sum of positive squares in 8 ways, for example, as 1261018948401 + 10738991161600 = 1122951^2 + 3277040^2 .

It is a cyclic number.

It is not a de Polignac number, because 12000010110001 - 215 = 12000010077233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000010110071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29013226 + ... + 29423923.

It is an arithmetic number, because the mean of its divisors is an integer number (794599147125).

Almost surely, 212000010110001 is an apocalyptic number.

It is an amenable number.

12000010110001 is a deficient number, since it is larger than the sum of its proper divisors (713576243999).

12000010110001 is an equidigital number, since it uses as much as digits as its factorization.

12000010110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58437348.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12000010110001 its reverse (10001101000021), we get a palindrome (22001111110022).

The spelling of 12000010110001 in words is "twelve trillion, ten million, one hundred ten thousand, one".

Divisors: 1 29 73 97 2117 2813 7081 205349 58437149 1694677321 4265911877 5668403453 123711444433 164383700137 413793452069 12000010110001