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12122013111021 = 32114491613169067
BaseRepresentation
bin1011000001100110000001…
…0010010001001011101101
31120220212000221021100110100
42300121200102101023231
53042101340324023041
641440435334301313
72360533533234162
oct260314022211355
946825027240410
1012122013111021
113953a0a421040
1214393b17b7839
1369c140991bb8
142dc9cc434069
151604c49c86b6
hexb06604912ed

12122013111021 has 48 divisors (see below), whose sum is σ = 19155877790400. Its totient is φ = 7325724456960.

The previous prime is 12122013110989. The next prime is 12122013111037. The reversal of 12122013111021 is 12011131022121.

It is a happy number.

12122013111021 is a `hidden beast` number, since 121 + 2 + 201 + 311 + 10 + 21 = 666.

It is not a de Polignac number, because 12122013111021 - 25 = 12122013110989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12122013110985 and 12122013111003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122013111721) 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, 71614930 + ... + 71783996.

It is an arithmetic number, because the mean of its divisors is an integer number (399080787300).

Almost surely, 212122013111021 is an apocalyptic number.

12122013111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122013111021 is a deficient number, since it is larger than the sum of its proper divisors (7033864679379).

12122013111021 is a wasteful number, since it uses less digits than its factorization.

12122013111021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171146 (or 171143 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12122013111021 its reverse (12011131022121), we get a palindrome (24133144133142).

The spelling of 12122013111021 in words is "twelve trillion, one hundred twenty-two billion, thirteen million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 9 11 33 99 449 1347 1613 4041 4839 4939 14517 14817 17743 44451 53229 159687 169067 507201 724237 1521603 1859737 2172711 5579211 6518133 7966607 16737633 23899821 71699463 75911083 227733249 272705071 683199747 818115213 835021913 2454345639 2505065739 2999755781 7515197217 8999267343 26997802029 122444576879 367333730637 1102001191911 1346890345669 4040671037007 12122013111021