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12122122022001 = 3215750317055659
BaseRepresentation
bin1011000001100110011011…
…0001101110110001110001
31120220212022112012121020100
42300121212301232301301
53042102101214201001
641440454224503013
72360536325041665
oct260314661566161
946825275177210
1012122122022001
113953a65949512
12143942217aa69
1369c15a405674
142dc9dcaa48a5
151604ce33d586
hexb0666c6ec71

12122122022001 has 24 divisors (see below), whose sum is σ = 17656292122560. Its totient is φ = 8013976135776.

The previous prime is 12122122021991. The next prime is 12122122022063. The reversal of 12122122022001 is 10022022122121.

It is a happy number.

12122122022001 is a `hidden beast` number, since 1 + 2 + 1 + 221 + 220 + 220 + 0 + 1 = 666.

12122122022001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122122022001 - 219 = 12122121497713 is a prime.

It is a super-2 number, since 2×121221220220012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12122122022071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7817091 + ... + 9238568.

It is an arithmetic number, because the mean of its divisors is an integer number (735678838440).

Almost surely, 212122122022001 is an apocalyptic number.

It is an amenable number.

12122122022001 is a deficient number, since it is larger than the sum of its proper divisors (5534170100559).

12122122022001 is a wasteful number, since it uses less digits than its factorization.

12122122022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17056325 (or 17056322 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122122022001 its reverse (10022022122121), we get a palindrome (22144144144122).

It can be divided in two parts, 121 and 22122022001, that added together give a palindrome (22122022122).

The spelling of 12122122022001 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty-two thousand, one".

Divisors: 1 3 9 157 471 503 1413 1509 4527 78971 236913 710739 17055659 51166977 153500931 2677738463 8033215389 8578996477 24099646167 25736989431 77210968293 1346902446889 4040707340667 12122122022001