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12122203201101 = 3276113151239857
BaseRepresentation
bin1011000001100110101110…
…0111011001111001001101
31120220212112011221221000200
42300121223213121321031
53042102233004413401
641440510244444113
72360541332045520
oct260315347317115
946825464857020
1012122203201101
113953aa7755584
1214394453a9639
1369c171189636
142dca09796bb7
151604d6526686
hexb066b9d9e4d

12122203201101 has 48 divisors (see below), whose sum is σ = 20340940858368. Its totient is φ = 6812869824000.

The previous prime is 12122203201013. The next prime is 12122203201183. The reversal of 12122203201101 is 10110230222121.

12122203201101 is a `hidden beast` number, since 1 + 2 + 12 + 220 + 320 + 110 + 1 = 666.

It is not a de Polignac number, because 12122203201101 - 221 = 12122201103949 is a prime.

It is a super-2 number, since 2×121222032011012 (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 (12122203200101) 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, 50419365 + ... + 50659221.

It is an arithmetic number, because the mean of its divisors is an integer number (423769601216).

Almost surely, 212122203201101 is an apocalyptic number.

It is an amenable number.

12122203201101 is a deficient number, since it is larger than the sum of its proper divisors (8218737657267).

12122203201101 is a wasteful number, since it uses less digits than its factorization.

12122203201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253082 (or 253079 counting only the distinct ones).

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

Adding to 12122203201101 its reverse (10110230222121), we get a palindrome (22232433423222).

The spelling of 12122203201101 in words is "twelve trillion, one hundred twenty-two billion, two hundred three million, two hundred one thousand, one hundred one".

Divisors: 1 3 7 9 21 61 63 183 427 549 1281 3843 13151 39453 92057 118359 239857 276171 719571 802211 828513 1678999 2158713 2406633 5036997 5615477 7219899 14631277 15110991 16846431 43893831 50539293 102418939 131681493 307256817 921770451 3154359407 9463078221 22080515849 28389234663 66241547547 192415923827 198724642641 577247771481 1346911466789 1731743314443 4040734400367 12122203201101