Search a number
-
+
12122102112001 = 710329357381917
BaseRepresentation
bin1011000001100110010110…
…0101110001111100000001
31120220212021010202001211221
42300121211211301330001
53042102031120041001
641440452234035041
72360535663566230
oct260314545617401
946825233661757
1012122102112001
113953a5568a872
121439417578a81
1369c1562541bb
142dc9da1a0b17
151604cc7091a1
hexb0665971f01

12122102112001 has 16 divisors (see below), whose sum is σ = 14036076198144. Its totient is φ = 10254377916864.

The previous prime is 12122102111941. The next prime is 12122102112007. The reversal of 12122102112001 is 10021120122121.

It is a cyclic number.

It is not a de Polignac number, because 12122102112001 - 217 = 12122101980929 is a prime.

It is a super-2 number, since 2×121221021120012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122102112007) 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, 28479706 + ... + 28902211.

It is an arithmetic number, because the mean of its divisors is an integer number (877254762384).

Almost surely, 212122102112001 is an apocalyptic number.

It is an amenable number.

12122102112001 is a deficient number, since it is larger than the sum of its proper divisors (1913974086143).

12122102112001 is a wasteful number, since it uses less digits than its factorization.

12122102112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57382320.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122102112001 its reverse (10021120122121), we get a palindrome (22143222234122).

The spelling of 12122102112001 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred twelve thousand, one".

Divisors: 1 7 103 293 721 2051 30179 211253 57381917 401673419 5910337451 16812901681 41372362157 117690311767 1731728873143 12122102112001