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12221241344 = 21113459031
BaseRepresentation
bin10110110000111000…
…10101100000000000
31011112201102101102022
423120130111200000
5200012114210334
65340411341012
7611565560144
oct133034254000
934481371368
1012221241344
115201632564
122450a51768
1311c9c48270
1483d16d224
154b7dc382e
hex2d8715800

12221241344 has 48 divisors (see below), whose sum is σ = 26316304560. Its totient is φ = 5640560640.

The previous prime is 12221241301. The next prime is 12221241349. The reversal of 12221241344 is 44314212221.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221241349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 202892 + ... + 256139.

It is an arithmetic number, because the mean of its divisors is an integer number (548256345).

Almost surely, 212221241344 is an apocalyptic number.

It is an amenable number.

12221241344 is an abundant number, since it is smaller than the sum of its proper divisors (14095063216).

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

12221241344 is an equidigital number, since it uses as much as digits as its factorization.

12221241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459066 (or 459046 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

Adding to 12221241344 its reverse (44314212221), we get a palindrome (56535453565).

The spelling of 12221241344 in words is "twelve billion, two hundred twenty-one million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 6656 13312 26624 459031 918062 1836124 3672248 5967403 7344496 11934806 14688992 23869612 29377984 47739224 58755968 95478448 117511936 190956896 235023872 381913792 470047744 763827584 940095488 1527655168 3055310336 6110620672 12221241344