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12123430224 = 2431429176747
BaseRepresentation
bin10110100101001110…
…01101110101010000
31011021220101001210020
423102213031311100
5144312044231344
65322555103440
7606300312423
oct132247156520
934256331706
1012123430224
1151613a6624
122424141b80
1311b28bcb69
1483018b9ba
154ae502719
hex2d29cdd50

12123430224 has 40 divisors (see below), whose sum is σ = 31340955360. Its totient is φ = 4038292608.

The previous prime is 12123430211. The next prime is 12123430243. The reversal of 12123430224 is 42203432121.

It is a happy number.

12123430224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12123430194 and 12123430203.

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 7 ways as a sum of consecutive naturals, for example, 19782 + ... + 156965.

It is an arithmetic number, because the mean of its divisors is an integer number (783523884).

Almost surely, 212123430224 is an apocalyptic number.

It is an amenable number.

12123430224 is an abundant number, since it is smaller than the sum of its proper divisors (19217525136).

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

12123430224 is a wasteful number, since it uses less digits than its factorization.

12123430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178187 (or 178181 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12123430224 its reverse (42203432121), we get a palindrome (54326862345).

The spelling of 12123430224 in words is "twelve billion, one hundred twenty-three million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1429 2858 4287 5716 8574 11432 17148 22864 34296 68592 176747 353494 530241 706988 1060482 1413976 2120964 2827952 4241928 8483856 252571463 505142926 757714389 1010285852 1515428778 2020571704 3030857556 4041143408 6061715112 12123430224