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12122110201101 = 3107601423114851
BaseRepresentation
bin1011000001100110011000…
…0100101000110100001101
31120220212021200222001000020
42300121212010220310031
53042102040202413401
641440453123252353
72360536122416505
oct260314604506415
946825250861006
1012122110201101
113953a5a20527a
12143941a21a0b9
1369c157b27054
142dc9db2a8a05
151604cd2a5d36
hexb0666128d0d

12122110201101 has 32 divisors (see below), whose sum is σ = 16345975274496. Its totient is φ = 7990131600000.

The previous prime is 12122110201081. The next prime is 12122110201139. The reversal of 12122110201101 is 10110201122121.

It is a happy number.

It is not a de Polignac number, because 12122110201101 - 239 = 11572354387213 is a prime.

It is a super-2 number, since 2×121221102011012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122110201001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816241326 + ... + 816256176.

It is an arithmetic number, because the mean of its divisors is an integer number (510811727328).

Almost surely, 212122110201101 is an apocalyptic number.

It is an amenable number.

12122110201101 is a deficient number, since it is larger than the sum of its proper divisors (4223865073395).

12122110201101 is a wasteful number, since it uses less digits than its factorization.

12122110201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19793.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12122110201101 its reverse (10110201122121), we get a palindrome (22232311323222).

The spelling of 12122110201101 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, two hundred one thousand, one hundred one".

Divisors: 1 3 107 321 601 1803 4231 12693 14851 44553 64307 192921 452717 1358151 1589057 2542831 4767171 7628493 8925451 26776353 62834581 188503743 272082917 816248751 955023257 2865069771 6723300167 20169900501 37763583181 113290749543 4040703400367 12122110201101