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12122122001301 = 32131031516661601
BaseRepresentation
bin1011000001100110011011…
…0001101001101110010101
31120220212022112011112211200
42300121212301221232111
53042102101213020201
641440454224223113
72360536324624434
oct260314661515625
946825275145750
1012122122001301
113953a65934a04
12143942216aa99
1369c15a3c9110
142dc9dca9b11b
151604ce337386
hexb0666c69b95

12122122001301 has 48 divisors (see below), whose sum is σ = 19165802003712. Its totient is φ = 7338418560000.

The previous prime is 12122122001287. The next prime is 12122122001303. The reversal of 12122122001301 is 10310022122121.

12122122001301 is a `hidden beast` number, since 121 + 2 + 21 + 220 + 0 + 1 + 301 = 666.

12122122001301 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 12122122001301 - 26 = 12122122001237 is a prime.

It is a super-2 number, since 2×121221220013012 (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 (12122122001303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1511100 + ... + 5150501.

It is an arithmetic number, because the mean of its divisors is an integer number (399287541744).

Almost surely, 212122122001301 is an apocalyptic number.

It is an amenable number.

12122122001301 is a deficient number, since it is larger than the sum of its proper divisors (7043680002411).

12122122001301 is a wasteful number, since it uses less digits than its factorization.

12122122001301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6661874 (or 6661871 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12122122001301 its reverse (10310022122121), we get a palindrome (22432144123422).

The spelling of 12122122001301 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, one thousand, three hundred one".

Divisors: 1 3 9 13 39 103 117 151 309 453 927 1339 1359 1963 4017 5889 12051 15553 17667 46659 139977 202189 606567 1819701 6661601 19984803 59954409 86600813 259802439 686144903 779407317 1005901751 2058434709 3017705253 6175304127 8919883739 9053115759 13076722763 26759651217 39230168289 80278953651 103607880353 117690504867 310823641059 932470923177 1346902444589 4040707333767 12122122001301