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12221211331 = 719243472393
BaseRepresentation
bin10110110000111000…
…01110001011000011
31011112201100212020201
423120130032023003
5200012112230311
65340410550031
7611565403510
oct133034161303
934481325221
1012221211331
115201611a5a
122450a38317
1311c9c376c4
1483d162307
154b7db99c1
hex2d870e2c3

12221211331 has 48 divisors (see below), whose sum is σ = 15411078144. Its totient is φ = 9482997888.

The previous prime is 12221211319. The next prime is 12221211377. The reversal of 12221211331 is 13311212221.

It is not a de Polignac number, because 12221211331 - 27 = 12221211203 is a prime.

It is a super-2 number, since 2×122212113312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 12221211299 and 12221211308.

It is not an unprimeable number, because it can be changed into a prime (12221211031) 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, 5105871 + ... + 5108263.

It is an arithmetic number, because the mean of its divisors is an integer number (321064128).

Almost surely, 212221211331 is an apocalyptic number.

12221211331 is a deficient number, since it is larger than the sum of its proper divisors (3189866813).

12221211331 is a wasteful number, since it uses less digits than its factorization.

12221211331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2509 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

Adding to 12221211331 its reverse (13311212221), we get a palindrome (25532423552).

The spelling of 12221211331 in words is "twelve billion, two hundred twenty-one million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 7 19 43 47 133 301 329 361 817 893 2021 2393 2527 5719 6251 14147 15523 16751 16967 38399 45467 102899 108661 112471 118769 268793 318269 720293 729581 787297 863873 1955081 2136949 4836253 5107067 6047111 13685567 14958643 33853771 37146539 40602031 91888807 260025773 284214217 643221649 1745887333 12221211331