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12124112244 = 2232963155213
BaseRepresentation
bin10110100101010011…
…10100010101110100
31011021221122201100020
423102221310111310
5144312233042434
65323021445140
7606306153006
oct132251642564
934257581306
1012124112244
115161821a82
1224244107b0
1311b2a9b41a
148302c8376
154ae5d9849
hex2d2a74574

12124112244 has 48 divisors (see below), whose sum is σ = 29312008320. Its totient is φ = 3895758720.

The previous prime is 12124112237. The next prime is 12124112293. The reversal of 12124112244 is 44221142121.

It is a happy number.

12124112244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121241122442 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191982 + ... + 247194.

It is an arithmetic number, because the mean of its divisors is an integer number (610666840).

Almost surely, 212124112244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12124112244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656004160).

12124112244 is an abundant number, since it is smaller than the sum of its proper divisors (17187896076).

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

12124112244 is a wasteful number, since it uses less digits than its factorization.

12124112244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55880 (or 55878 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 12124112244 its reverse (44221142121), we get a palindrome (56345254365).

The spelling of 12124112244 in words is "twelve billion, one hundred twenty-four million, one hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 631 1262 1893 2524 3786 7572 18299 36598 54897 55213 73196 109794 110426 165639 219588 220852 331278 662556 1601177 3202354 4803531 6404708 9607062 19214124 34839403 69678806 104518209 139357612 209036418 418072836 1010342687 2020685374 3031028061 4041370748 6062056122 12124112244