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12122121111021 = 328916792997547
BaseRepresentation
bin1011000001100110011010…
…1110010000010111101101
31120220212022110111022121100
42300121212232100113231
53042102101001023041
641440454153153313
72360536314226035
oct260314656202755
946825273438540
1012122121111021
113953a65387039
1214394219bb839
1369c15a176b1c
142dc9dc9088c5
151604ce20d6b6
hexb0666b905ed

12122121111021 has 48 divisors (see below), whose sum is σ = 17831852438400. Its totient is φ = 7934132557824.

The previous prime is 12122121110971. The next prime is 12122121111029. The reversal of 12122121111021 is 12011112122121.

It is a happy number.

12122121111021 is a `hidden beast` number, since 121 + 221 + 211 + 110 + 2 + 1 = 666.

12122121111021 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 12122121111021 - 222 = 12122116916717 is a prime.

It is a super-2 number, since 2×121221211110212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122121110985 and 12122121111003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122121111029) 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, 124220770 + ... + 124318316.

It is an arithmetic number, because the mean of its divisors is an integer number (371496925800).

Almost surely, 212122121111021 is an apocalyptic number.

It is an amenable number.

12122121111021 is a deficient number, since it is larger than the sum of its proper divisors (5709731327379).

12122121111021 is a wasteful number, since it uses less digits than its factorization.

12122121111021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98738 (or 98735 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12122121111021 its reverse (12011112122121), we get a palindrome (24133233233142).

The spelling of 12122121111021 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 9 89 167 267 501 801 929 1503 2787 8361 14863 44589 82681 97547 133767 155143 248043 292641 465429 744129 877923 1396287 8681683 13807727 16290349 26045049 41423181 48871047 78135147 90621163 124269543 146613141 271863489 815590467 1449841061 4349523183 8065283507 13048569549 15133734221 24195850521 45401202663 72587551563 136203607989 1346902345669 4040707037007 12122121111021