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12012100100001 = 322108576329777
BaseRepresentation
bin1010111011001100100011…
…1101011001111110100001
31120112100022220112212112100
42232303020331121332201
53033301240111200001
641314141013121013
72346563016116001
oct256631075317641
946470286485470
1012012100100001
113911337396051
121420038029169
13691975501581
142d7562a16001
1515c6e0365586
hexaecc8f59fa1

12012100100001 has 12 divisors (see below), whose sum is σ = 17350896283812. Its totient is φ = 8008027489536.

The previous prime is 12012100099957. The next prime is 12012100100051. The reversal of 12012100100001 is 10000100121021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2170082534400 + 9842017565601 = 1473120^2 + 3137199^2 .

It is a de Polignac number, because none of the positive numbers 2k-12012100100001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12012100100051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1267176 + ... + 5062601.

It is an arithmetic number, because the mean of its divisors is an integer number (1445908023651).

Almost surely, 212012100100001 is an apocalyptic number.

It is an amenable number.

12012100100001 is a deficient number, since it is larger than the sum of its proper divisors (5338796183811).

12012100100001 is a wasteful number, since it uses less digits than its factorization.

12012100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540640 (or 6540637 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12012100100001 its reverse (10000100121021), we get a palindrome (22012200221022).

It can be divided in two parts, 120 and 12100100001, that added together give a palindrome (12100100121).

The spelling of 12012100100001 in words is "twelve trillion, twelve billion, one hundred million, one hundred thousand, one".

Divisors: 1 3 9 210857 632571 1897713 6329777 18989331 56967993 1334677788889 4004033366667 12012100100001