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12220321122 = 234149506269
BaseRepresentation
bin10110110000110001…
…10100110101100010
31011112122200122010000
423120120310311202
5200011400233442
65340335520430
7611555005242
oct133030646542
934478618100
1012220321122
115201064149
122450689116
1311c99b5459
1483cdadb22
154b7c90d4c
hex2d8634d62

12220321122 has 40 divisors (see below), whose sum is σ = 27566401500. Its totient is φ = 4046093856.

The previous prime is 12220321109. The next prime is 12220321147. The reversal of 12220321122 is 22112302221.

12220321122 is a `hidden beast` number, since 1 + 2 + 220 + 321 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11261242161 + 959078961 = 106119^2 + 30969^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12220321095 and 12220321104.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 228997 + ... + 277272.

Almost surely, 212220321122 is an apocalyptic number.

12220321122 is an abundant number, since it is smaller than the sum of its proper divisors (15346080378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12220321122 is a wasteful number, since it uses less digits than its factorization.

12220321122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506432 (or 506423 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12220321122 its reverse (22112302221), we get a palindrome (34332623343).

The spelling of 12220321122 in words is "twelve billion, two hundred twenty million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 894 1341 2682 4023 8046 12069 24138 506269 1012538 1518807 3037614 4556421 9112842 13669263 27338526 41007789 75434081 82015578 150868162 226302243 452604486 678906729 1357813458 2036720187 4073440374 6110160561 12220321122