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12112000002001 = 172105557397037
BaseRepresentation
bin1011000001000000101101…
…1101010010011111010001
31120212220012002211201010201
42300100023131102133101
53041420334000031001
641432102002455201
72360030436223414
oct260201335223721
946786162751121
1012112000002001
11394a741273029
121437478364501
1369b206364a13
142dc31c65bb7b
151600da8cb501
hexb040b7527d1

12112000002001 has 12 divisors (see below), whose sum is σ = 12866534921628. Its totient is φ = 11399392708352.

The previous prime is 12112000001977. The next prime is 12112000002017. The reversal of 12112000002001 is 10020000021121.

It can be written as a sum of positive squares in 6 ways, for example, as 3206072883601 + 8905927118400 = 1790551^2 + 2984280^2 .

It is not a de Polignac number, because 12112000002001 - 29 = 12112000001489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12112000002071) 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, 30307455 + ... + 30704491.

It is an arithmetic number, because the mean of its divisors is an integer number (1072211243469).

Almost surely, 212112000002001 is an apocalyptic number.

It is an amenable number.

12112000002001 is a deficient number, since it is larger than the sum of its proper divisors (754534919627).

12112000002001 is a wasteful number, since it uses less digits than its factorization.

12112000002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502628 (or 502611 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12112000002001 its reverse (10020000021121), we get a palindrome (22132000023122).

The spelling of 12112000002001 in words is "twelve trillion, one hundred twelve billion, two thousand, one".

Divisors: 1 17 289 105557 397037 1794469 6749629 30505973 114743693 41910034609 712470588353 12112000002001